FORM 6-K


                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D. C. 20549



                        Report of Foreign Private Issuer
                      Pursuant to Rule 13a-16 or 15d-16 of
                       the Securities Exchange Act of 1934

                          For the month of August, 2004

                           A/S STEAMSHIP COMPANY TORM
                 (Translation of registrant's name into English)

                                   Marina Park
                                Sundkrogsgade 10
                              DK-2100 Copenhagen 0
                                     Denmark
                    (Address of principal executive offices)

     Indicate  by check mark  whether the  registrant  files or will file annual
reports under cover Form 20-F or Form 40-F.

                             Form 20-F  [X]    Form 40-F

     Indicate by check mark whether the registrant by furnishing the information
contained  in this  Form is  also  thereby  furnishing  the  information  to the
commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of 1934.

                                 Yes [_]   No [X]





INFORMATION CONTAINED IN THIS FORM 6-K REPORT

     Set forth  herein as  Exhibit 1 is a copy of a  Announcement  No. 10 - 2004
TORM - Results for second  quarter 2004 issued by A/S STEAMSHIP  COMPANY TORM to
The Copenhagen Stock Exchange on August 11, 2004.




Exhibit 1

ANNOUNCEMENT NO. 10 - 2004
TORM - results for first half 2004

12 August 2004

o    First half 2004 profits better than expected - expectations for 2004 profit
     before tax and value  adjustment on NORDEN shares  increased to DKK 875-925
     mill.

o    Profit from own activities in the second quarter 2004 in itself was DKK 245
     mill.

o    Profit from own  activities in the first half 2004 was DKK 494 mill.  after
     tax - better than originally expected.

o    Profit after tax in the second quarter 2004 after value  adjustments on the
     shares in Dampskibsselskabet 'NORDEN' A/S and dividend received from NORDEN
     was DKK 23 mill.

o    Profit  after tax for the first  half 2004 was DKK 1,119  mill.,  including
     value  adjustment  on the  NORDEN  shares  of DKK 552  mill.  and  dividend
     received  from  NORDEN  of DKK 73 mill.  The  result is  considered  highly
     satisfactory.

o    Cash flow from  operating  activities  was DKK 680 mill.  in the first half
     2004 (DKK 233 mill.)

o    Return on invested  capital  was 30.6% p.a.  and return on equity was 76.7%
     p.a. in the first half 2004.

o    Earnings per share (EPS) for the first half 2004 were DKK 32.2 (DKK 6.8).

o    The market value of the Company's  fleet  including  newbuilding  contracts
     exceeded  the  book  value  by  DKK  1,811  mill.   as  of  30  June  2004.
     Shareholders' equity was DKK 3,374 mill. as of 30 June 2004.

o    Freight  rates in the bulk market have improved  considerably  earlier than
     expected,  which  combined with the tanker market rates have caused TORM to
     upgrade  its  expectations  for profit  before  tax for 2004 from min.  DKK
     750-800  mill.  announced  in the first  quarter 2004 report to DKK 875-925
     mill.  before  any  value  adjustments  on the  NORDEN  shares.  The  value
     adjustment  on the NORDEN  shares in 2004 was DKK 775 mill. as of 11 August
     2004.

Telephone conference and webcast (www.torm.com) reviewing the results will take
place on 12 August 2004, 17.00 Danish time. To participate, please call 10
minutes prior to the start of the telephone conference on +45 32 71 46 11 (from
Europe) or +1 334 323 6203 (from the USA).

A/S Dampskibsselskabet TORM
Contact persons:  Klaus Kjaerulff, CEO (tel.: +45 39 17 92 00)
                  Klaus Nyborg, CFO (tel.: +45 39 17 92 00)





KEY FIGURES FOR THE GROUP

----------------------------------------------------------------------------------------------------------------------
DKK mill.                                                                                         Change         Full
                                                              First half       First half     first half         year
                                                                    2004             2003        2003-04         2003
----------------------------------------------------------------------------------------------------------------------
INCOME STATEMENT
                                                                                                    
Net revenue                                                        1,216              939            29%        1,928
Time Charter equivalent earnings                                     990              612            62%        1,307
Gross profit                                                         680              300           127%          647
Profit before depreciation                                           641              259           147%          572
Profit before financial items                                        540              173           212%          395
Net gain from other investments
  and securities                                                     551               56           884%          682
Other financial items                                                 28                7           300%          -25
Profit before tax                                                  1,119              236           374%        1,052
Net profit after tax for the period                                1,119              236           374%        1,051
----------------------------------------------------------------------------------------------------------------------
BALANCE SHEET
Total assets                                                       6,214            4,079            52%        4,894
Shareholders' equity                                               3,374            1,721            96%        2,464
Liabilities                                                        2,840            2,358            20%        2,430

Invested capital                                                   3,878            2,821            37%        3,186
Net interest bearing debt                                          2,034            1,447            41%        1,698
----------------------------------------------------------------------------------------------------------------------
CASH FLOW
From operating activities                                            680              233           192%          494
From investing activities                                           -693             -306           126%       -1,008
  thereof investment in tangible fixed assets                       -693             -420            65%       -1,122
From financing activities                                            107              125           -14%          471
                                                                     ---              ---                         ---
Net cash flow                                                         94               52            81%          -43
----------------------------------------------------------------------------------------------------------------------
KEY FIGURES
Gross margin                                                       55.9%            31.9%                       33.6%
Profit before depreciation/Net revenue                             52.7%            27.6%                       29.7%
Profit before financial items/Net revenue                          44.4%            18.4%                       20.5%
RoE (p.a.)                                                         76.7%            28.2%                       51.4%
RoIC (p.a.)                                                        30.6%            12.2%                       13.1%
Equity ratio                                                       54.3%            42.2%                       50.3%

Share price, end of period (DKK)*                                  149.8             42.8           250%         90.3
Millions of shares, end of period*                                  36.4             36.4             0%         36.4
Earnings per share (DKK)*                                           32.2              6.8           373%         30.3
Exchange rate USD/DKK, end of period                                6.11             6.50            -6%         5.96
Exchange rate USD/DKK, average                                      6.07             6.74           -10%         6.59

----------------------------------------------------------------------------------------------------------------------
* The comparative figures are restated to reflect the issue of bonus shares in
May 2004.




FIRST HALF 2004 RESULTS

Profit  after tax for the first half 2004 was DKK 1,119 mill.,  including  value
adjustment  on the NORDEN  shares of DKK 552 mill.  and dividend  received  from
NORDEN of DKK 73 mill. The result is highly considered satisfactory

Gross profit in the first half was DKK 680 mill.  (against DKK 300 mill.  in the
first half  2003).  The  increase is mainly  attributable  to a  combination  of
increasing  freight  rates in the  Bulk  division  and an  increased  number  of
operating  days  in  the  Tanker  division,  countered  by a 10%  lower  average
USD/DKK-exchange rate.

Profit before depreciation was DKK 641 mill. (DKK 259 mill.).

Depreciation  was DKK 101 mill.  in the first  half  2004  (DKK 86  mill.).  The
increased  depreciation  is due to the expansion of the Company's  fleet through
the  delivery  of  four  new and  one  second-hand  product  tankers  and  three
second-hand bulk carriers in the period July 2003 - June 2004,  countered by the
lower USD/DKK-exchange rate.

Net financial  items were positive by DKK 579 mill. (DKK 63 mill.) This includes
net gains on  securities  -  primarily  the  NORDEN  shares - of DKK 551  mill.,
dividend received on the NORDEN shares of DKK 73 mill., net interest expenses of
DKK 35 mill. and other financial items of negative DKK 11 mill.

Profit  before and after tax was DKK 1,119 mill.  (DKK 236  mill.).  Thereof the
Tanker division's profit after tax was DKK 228 mill. (DKK 177 mill.),  while the
Bulk  division's  profit  after  tax was  DKK 267  mill.  (DKK 6  mill.).  Other
activities - mainly  Unallocated  financial items - showed a profit after tax of
DKK 624 mill. (DKK 53 mill.).

Cash flow from  operating  activities was positive by DKK 680 mill. in the first
half of 2004, primarily consisting of cash earnings and the dividend from NORDEN
of DKK 73 mill.

Cash flow from  investment  activities was negative by DKK 693 mill. This amount
comprises investments in fixed assets, primarily vessels.

Cash flow from  financing  activities  was DKK 107 mill. in the first half 2004.
This amount  consists  mainly of loan draw-downs in connection with the delivery
of  newbuildings  and second hand vessels of DKK 711 mill.,  less  repayments on
mortgage  and  leasing  debt of DKK 341  mill.,  payment of  dividend  to TORM's
shareholders  of DKK 210 mill.  and net  settlement  of share  options of DKK 53
mill.

Consequently,  the total cash flow in the first  half 2004 was DKK 94 mill.  The
Company's cash and bond holdings were DKK 573 mill. against DKK 479 mill. at the
end of 2003.

Total assets  increased in the first half 2004 from DKK 4,894 mill. to DKK 6,214
mill.,  mainly due to the increase in fixed  assets from DKK 4,169 mill.  to DKK
5,398  mill.   This  was  positively   impacted  by  the  delivery  of  two  LR1
newbuildings, one second-hand MR newbuilding, two second-hand bulk carriers, the
value  adjustment   related  to  the  NORDEN   shareholding  and  the  increased
USD/DKK-exchange  rate in the first half 2004,  countered by depreciation during
the  period.  The  investment  in NORDEN is valued at DKK 2,064 per  share,  the
closing price on Copenhagen Stock Exchange on 30 June 2004.

Net interest  bearing debt increased in the first half 2004 from DKK 1,698 mill.
to DKK 2,034 mill.  The increase is due to net borrowing in connection  with the
delivery of vessels  countered  by the positive  operating  cash flow during the
period.

During the first half 2004,  shareholders' equity increased from DKK 2,464 mill.
to DKK 3,374  mill.,  mainly  as a result of the  earnings  in the  period  less
dividend  payments.  Shareholders'  equity  as  a  percentage  of  total  assets
increased from 50.3% at 31 December 2003 to 54.3% at 30 June 2004.

On 30 June 2004,  TORM owned 1,566,612 own shares  corresponding  to 4.3% of the
Company's  share  capital,  a  reduction  of 196,124 own shares from 31 December
2003.

SECOND QUARTER 2004 RESULTS
Second  quarter 2004 gross profit was DKK 347 mill.  Profit before  depreciation
for the second quarter was DKK 324 mill.,  while profit before  financial  items
was DKK 273 mill. Of this amount, the Tanker and Bulk divisions  contributed DKK
119 mill. and DKK 154 mill., respectively.

Profit from own activities in the second quarter 2004 was DKK 245 mill.

Financial  items  were  negative  by  DKK  250  mill.  due to a  negative  value
adjustment  on the NORDEN  shares of DKK 295 mill.  in the second  quarter 2004,
which was only partly  countered by the dividend  payment received on the NORDEN
shares of DKK 73 mill. Isolated, second quarter 2004 profit after tax was DKK 23
mill.





---------------------------------------------------------------------------------------------------------------------------
Segment information                                First half 2004                        Q2 2004
 (DKK mill.)
                                          Tanker     Bulk                           Tanker     Bulk
                                        division division   Unallocated    Total  division division   Unallocated    Total
---------------------------------------------------------------------------------------------------------------------------
                                                                                               
Net revenue                                  691      525             0    1,216       337      269             0      606
Port expenses and bunker                    -173      -53             0     -226       -88      -15             0     -103
                                      -------------------------------------------------------------------------------------
Time charter equivalent earnings             518      472             0      990       249      254             0      503
Charter hire                                 -40     -130             0     -170       -21      -65             0      -86
Operating expenses                          -108      -32             0     -140       -53      -17             0      -70
                                      -------------------------------------------------------------------------------------
Gross Profit                                 370      310             0      680       175      172             0      347
Profit on sale of vessels
  and interests                                0        0             0        0         0        0             0        0
Administrative expenses                      -52      -17            -1      -70       -28       -9             0      -37
Other Operating income                        31        0             0       31        14        0             0       14
                                      -------------------------------------------------------------------------------------
Profit before depreciation                   349      293            -1      641       161      163             0      324
Depreciation                                 -84      -17             0     -101       -42       -9             0      -51
                                      -------------------------------------------------------------------------------------
Profit before financial items                265      276            -1      540       119      154             0      273
Net gain/(loss) form other
  investments and securities                   0        0           551      551         0        0          -300     -300
Other financial items                        -37       -9            74       28       -16       -8            74       50
                                      -------------------------------------------------------------------------------------
Profit/(Loss) before tax                     228      267           624    1,119       103      146          -226       23
Tax                                            0        0             0        0         0        0             0        0
                                      -------------------------------------------------------------------------------------
Net profit for the period                    228      267           624    1,119       103      146          -226       23

---------------------------------------------------------------------------------------------------------------------------






TANKER DIVISION
The Tanker division's profit after tax was DKK 228 mill. in the first half 2004.

Freight  rates in the  product  tanker  market were at a high level in the first
half 2004. This is normally the case in the winter months,  but in 2004 the firm
freight  rate  level  continued  into the  second  quarter.  Growth in the world
economy  in general  coupled  with a high oil price  were  contributing  factors
behind  continued low inventories of refined  products,  which led to good - and
better  than  expected  - freight  rate  levels  in the  product  tanker  market
throughout the first half.


Earnings data for the Tanker division

                                                                      2003       2004       2004         Change
                                                                          -----------------------
                                                                        q2         q1         q2          q2-q2
LR2/Aframax vessels
---------------------------------------------------------------------------------------------------------------
                                                                                               
Available earning days                                                 272        455        450            65%
TCE per earning day (USD/day)*)                                     32,804     32,012     27,896           -15%
OPEX per earning day (USD/day) **)                                  -5,816     -4,453     -4,898           -16%
Operating C/F per earning day (USD/day) ***)                        18,479     21,697     17,061            -8%
---------------------------------------------------------------------------------------------------------------

LR1/Panamax vessels
---------------------------------------------------------------------------------------------------------------
Available earning days                                                 194        288        319            64%
TCE per earning day (USD/day)*)                                     26,507     28,270     23,028           -13%
OPEX per earning day (USD/day) **)                                  -7,070     -6,141     -5,267           -26%
Operating C/F per earning day (USD/day) ***)                        19,436     22,130     17,761            -9%
---------------------------------------------------------------------------------------------------------------

MR vessels
---------------------------------------------------------------------------------------------------------------
Available earning days                                               1,000      1,047      1,067             7%
TCE per earning day (USD/day)*)                                     19,369     21,491     20,288             5%
OPEX per earning day (USD/day) **)                                  -4,575     -5,927     -5,367            17%
Operating C/F per earning day (USD/day) ***)                        14,794     15,565     14,920             1%
---------------------------------------------------------------------------------------------------------------

*)      TCE = Time Charter Equivalent Earnings = Gross freight income less port
        expenses, bunker and commissions.
**)     Operating expenses for own vessels. ***) TCE earnings less operating
        expenses and charter hire.



Compared to the second  quarter  2003 the rates  achieved in the second  quarter
2004  were 15% and 13% lower and 5%  higher  for the LR2,  LR1 and MR  segments,
respectively. Second quarter 2004 was not to the same extent as 2003 impacted by
one-off  factors such as the general strike in Venezuela and the build-up to the
war in Iraq, but despite this and despite the delivery of many  newbuildings the
market showed very firm freight rates for the season.

The total  activity  level in the  Tanker  division,  measured  by the number of
available earning days,  increased by 25% in the second quarter 2004 compared to
the second quarter 2003. In the LR2 segment the number of available earning days
increased  by 65% due to the  delivery  of two  newbuildings  towards the end of
2003.  In the LR1 segment the increase in the number of  available  earning days
was 64% due to  delivery  of TORM Estrid in January  2004.  The  increase in the
number of earning days in the MR segment is due to the delivery of TORM Alice in
February 2004.


BULK DIVISION
The Bulk division profit after tax for the first half 2004 was DKK 267 mill.

The freight  rates in the bulk market were at an  extraordinarily  high level in
the first quarter  2004.  Towards the end of the second  quarter,  freight rates
fell rapidly.  It was primarily  strong  Chinese  demand  coupled with increased
waiting time in many ports that formed the  background for the firm freight rate
level in the first quarter.  Following this, the Chinese slowdown in the economy
in the second  quarter led to the rapidly  falling  freight  rates in the second
quarter.



Earnings data for the bulk division

                                                                       2003       2004       2004         Change
                                                                           -----------------------
Panamax vessels                                                          q2         q1         q2          q2-q2
                                                                           -----------------------
-----------------------------------------------------------------------------------------------------------------
                                                                                                 
Available earning days                                               1,286      1,383      1,352               5%
TCE per earning day (USD/day)*)                                     11,905     23,219     26,501             123%
OPEX per earning day (USD/day) **)                                  -4,592     -5,501     -5,810              27%
Operating C/F per earning day (USD/day) ***)                         3,331     14,327     17,523             426%
-----------------------------------------------------------------------------------------------------------------

Handysize vessels
-----------------------------------------------------------------------------------------------------------------
Available earning days                                                 351        303        302             -14%
TCE per earning days (USD/day)*)                                     7,781     15,963     16,320             110%
OPEX per earning days (USD/day) **)                                 -3,180     -3,112     -3,302               4%
Operating C/F per earning day (USD/day) ***)                         3,392     11,187     11,082             227%
-----------------------------------------------------------------------------------------------------------------

*)   TCE = Time Charter  Equivalent  Earnings = Gross  freight  income less port
     expenses, bunker and commissions.
**)  Operating  expenses  for own  vessels.
***) TCE earnings less operating expenses and charter hire.


However,  freight  rates for TORM's  Panamax  vessels  were higher in the second
quarter 2004 compared to the first quarter of 2004 due to charters  entered into
in the first quarter 2004 only showing full effect in the second quarter.

Compared to the second  quarter 2003,  freight rates for the second quarter 2004
were  123%  and  110%  higher  for  TORM's   Panamax  and   Handysize   vessels,
respectively.

Compared  to the second  quarter  2003,  the number of  available  earning  days
increased by 5% for TORM's Panamax vessels,  while TORM in the Handysize segment
has redelivered a vessel in 2003,  which explains the reduction in the number of
available earning days by 14% in this segment.


UNALLOCATED
Unallocated items were DKK 624 mill., mainly consisting of unallocated financial
items,  including an unrealized  gain on the NORDEN shares of DKK 522 mill.  and
dividends  received  from  NORDEN  of DKK 73  mill.  and  various  minor  items,
primarily adjustments related to the Liner activity, which were sold in 2002.


FLEET DEVELOPMENT
During the first half 2004 TORM took  delivery  of two  newbuildings  - both LR1
product  tankers - and  exercised  options  to  purchase  the two  Panamax  bulk
carriers,  TORM Baltic and TORM Marlene at favourable prices.  These two vessels
were  delivered in the second  quarter of 2004. In addition to this,  during the
first half 2004,  TORM has  acquired  the MR product  tanker TORM Alice from the
pool partner  Rederi AB Gotland and the MR product  tanker "Zorca" (built 1999),
which will be  delivered  around 1 October  2004.  Following  these  deliveries,
TORM's owned  product  tanker fleet  measured in DWT will have  increased by 20%
during 2004, while the owned bulk carrier fleet has increased by 42%.

TORM's orderbook consists of five LR2 newbuildings with delivery from April 2006
to January 2008 with a combined value of almost USD 200 mill.

Since the end of 2003 vessel values in general have increased considerably, both
in the tanker and bulk  markets,  and as of 30 June 2004 the market value of the
Company's fleet valued by two individual  shipbrokers exceeded the book value of
vessels and newbuildings by DKK 1,811 mill.


ASIA/CHINA
The Asian market,  especially  China, but also other Asian countries,  including
Japan and India are important  markets for the shipping industry and TORM. It is
therefore positive that the Asian market,  not least India, grows  considerably,
and that the Japanese market grows again.

During the first half,  the Chinese market was - especially in the bulk market -
a  significant  factor  behind  the  swings  in the  freight  market.  The large
increases  in the bulk market  towards the end of 2003 and in the first  quarter
2004 were  especially due to increasing  Chinese import of raw materials such as
iron ore and coal, which led to build-up of raw material  stocks.  In the second
quarter of 2004 China  introduced a number of measures to avoid  overheating its
economy,   which  especially   impacted  the  type  of  raw  materials  normally
transported  on bulk  carriers.  TORM  believes  that  after a  period  of stock
reduction, in the third quarter 2004, the Chinese market will again increase the
import of raw materials.  This is expected to have a positive  impact on freight
rate levels.

China's  demand is not as crucial  for the freight  market for product  tankers.
China is today the World's  second  largest  consumer of oil,  but the import of
refined products is so far relatively  limited,  although  increasing rapidly. A
gradual  liberalization  of the  import  of  refined  products,  which  will  be
transported   in  product   tankers,   is  expected  to  increase   this  import
significantly.


CAPITAL STRUCTURE
TORM's  shareholders'  equity  was 54% of total  assets at the end of the second
quarter  2004,  but  longer  term  TORM  aims  for  a  capital   structure  with
shareholders' equity to total assets of about 30-40%.  TORM's current investment
program has  limited  liquidity  requirements  in the second half of 2004 and in
2005 and consequently it is likely that significant liquidity will be generated.

The current market price levels for vessels are relatively  high, but due to the
low interest  rates it is still possible to selectively  find  investments  that
meet TORM's required  returns.  TORM  continuously  evaluates  opportunities for
investments  in single  vessels,  fleets or  companies,  but given the  cyclical
nature of the  shipping  industry,  the  timing of  larger  investments  is very
significant.

After the end of the second quarter 2004Teekay  Netherlands European Holdings BV
sold its  holding  of app.  16% of TORM's  shares to  Danish  and  international
investors,  mainly  institutional,  which has  increased  the free float of TORM
shares considerably.


ISPS
On 1 July 2004 the  International  Ship and Port  Facility  Security code (ISPS)
came into force. ISPS stipulates that ship owners and ports introduce,  maintain
and  test a number  of  procedures.  As of 1 July  2004  71% of the  vessels  in
Intertanko,  the  tanker  vessel  owners  organisation,  were  certified.  It is
expected that the majority of the remaining tankers trading internationally will
be certified in the third quarter  2004.  In  accordance  with its tradition for
quality, TORM was certified well before the 1 July deadline. The introduction of
ISPS has not had any  significant  influence on the markets for TORM's  vessels,
but led to a direct cost of around DKK 2 mill. for TORM.


PROCUCT TANKER POOLS
The three  product  tanker  pools  consisted of a total of 68 vessels by 30 June
2004.  During the first half 2004 net  growth  was seven  vessels.  Based on the
delivery of already  ordered  vessels the three pools will consist of 74 vessels
by the end of 2004.

There are continuing discussions with potential poolpartners.

NEW MAIN OFFICE
In June 2004, TORM moved to a new head office in Tuborg Havn, Hellerup.  The new
office address is: Tuborg Havnevej 18, DK-2900 Hellerup.  Telephone numbers etc.
remain unchanged.



EXPECTATIONS FOR 2004

Tanker divisionen
Freight  rates in the  Tanker  division  for the first  half 2004 and into third
quarter 2004 have been higher than  forecasted  in the 2003 Annual  Report.  The
background  is  higher  global   economic   growth,   which  increases  the  oil
consumption. According to IEA, global oil consumption is expected to increase by
2.9% in 2004 up from 0.3% in 2002 and 2.3% in 2003.  This has  caused  increased
use of refined oil products,  which combined with  historically  low inventories
have led to increasing  requirements  for product  tankers to transport  refined
products.

Bulk division
In the Bulk market, freight rates for the first quarter 2004 were very high, but
fell in the second  quarter 2004. At the start of the third quarter 2004,  rates
again  increased  rapidly  after  China  increased  its  import of  agricultural
products and iron ore.  TORM expects that the bulk markets in the months to come
will remain firm, but volatile.

When the market fell in the second quarter TORM benefited from a relatively high
degree of coverage of the Company's  operating days in 2004.  This coverage will
gradually  expire  in the third  and  especially  fourth  quarter  of 2004,  and
consequently  the coverage for 2005 is currently  limited.  In light of the high
degree of  volatility  in the bulk  markets,  TORM  plans to renew  its  current
coverage as it expires in the second half, whereby the coverage will extend into
2005.  It is therefore  positive  that freight rate levels since the end of June
2004 have improved  significantly.  TORM expects to have a slightly lower number
of operating days in 2005 compared to 2004.

84% of the operating  days for the  Company's  Panamax bulk vessels in 2004 were
covered at an average level of USD 24,490 per day as of 31 July 2004.

Financial expectations
Due to the above market  expectations,  TORM increases its  expectations  of the
2004 result  before tax from minimum DKK 750-800 mill. as announced in the first
quarter 2004 report to DKK 875-925 mill. before any value adjustments related to
the NORDEN  shares.  The  unrealized  gain on the NORDEN shares in 2004 as of 11
August 2004 was DKK 775 mill.  based on a NORDEN  share price on the  Copenhagen
Stock Exchange of DKK 2,370.

The  expectations  for the result in the  remaining  part of 2004 are based on a
USD/DKK-  exchange  rate of 6.00 and the  following  freight  rates and activity
levels for TORM's vessels, which should be considered as a guidance only:



                        Expected TCE freight rates and operating days for TORM in 2004

                                                                         2004
                                          --------------------------------------------------------------------
                                      2003          q11           q21          q32           q42   Full year3
LR2
                                                                                     
TCE rates (USD/day)                 27,185       32,012        27,896       28,532        23,718       28,040
  # of days                          1,231          455           450          455           455        1,815
LR1
 TCE rates (USD/day)                22,429       28,270        23,028       23,509        19,841       23,307
 # of days                             847          288           319          402           410        1,419
MR
 TCE rates (USD/day)                17,307       21,491        20,288       18,229        15,714       18,910
 # of days                           4,015        1,047         1,067        1,070         1,078        4,262

Panamax
 TCE rates (USD/day)                11,695       23,219        26,501       23,949        23,880       24,381
 # of days                           5,147        1,383         1,352        1,343         1,355        5,433
Handysize
 TCE rates (USD/day)                 8,706       15,963        16,320       13,281        13,542       14,980
 # of days                           1,258          303           302          234           212        1,051
---------------------------------------------------------------------------------------------------------------

1 Actual freight rates.
2 Expected freight rates.
3 TCE rates are weighted average of the four quarters.


SAFE HARBOUR STATEMENT - FORWARD LOOKING STATEMENTS

Matters  discussed in this release may  constitute  forward-looking  statements.
Forward-looking  statements  reflect  our current  views with  respect to future
events and financial  performance and may include  statements  concerning plans,
objectives,  goals,  strategies,  future events or  performance,  and underlying
assumptions and other statements,  which are other than statements of historical
facts.

The   forward-looking   statements  in  this  release  are  based  upon  various
assumptions,  many of which  are  based,  in  turn,  upon  further  assumptions,
including without limitation,  management's  examination of historical operating
trends,  data  contained  in our  records  and other data  available  from third
parties.  Although TORM believes that these  assumptions  were  reasonable  when
made,   because  these   assumptions  are  inherently   subject  to  significant
uncertainties and contingencies which are difficult or impossible to predict and
are  beyond  our  control,  TORM  cannot  assure  you  that it will  achieve  or
accomplish these expectations, beliefs or projections.

Important  factors  that,  in our view,  could  cause  actual  results to differ
materially from those discussed in the  forward-looking  statements  include the
strength of world  economies and  currencies,  changes in charter hire rates and
vessel  values,  changes in demand for "tonne miles" of crude oil carried by oil
tankers,  the  effect of  changes  in OPEC's  petroleum  production  levels  and
worldwide  oil  consumption  and  storage,  changes  in demand  that may  affect
attitudes of time charterers to scheduled and unscheduled  dry-docking,  changes
in TORM's operating expenses, including bunker prices, dry-docking and insurance
costs, changes in governmental rules and regulations including  requirements for
double  hull  tankers  or actions  taken by  regulatory  authorities,  potential
liability  from  pending  or  future  litigation,   domestic  and  international
political  conditions,  potential disruption of shipping routes due to accidents
and political events or acts by terrorists.

Risks and  uncertainties are further described in reports filed by TORM with the
US Securities and Exchange Commission,  including the TORM Annual Report on Form
20-F and its reports on Form 6-K.



ACCOUNTING POLICIES
The  consolidated  accounts for the first half 2004 have been prepared using the
same accounting policies as for the 2003 Annual Report.

The accounting policies are described in more detail in the 2003 Annual Report.

The Company  expects to present its  accounts in USD from first  quarter 2005 in
accordance with the revised Danish Financial Statements Act.

The quarterly report for the first half of 2004 is unaudited in line with normal
practice.



TELEPHONE CONFERENCE AND WEBCAST
TORM invites financial analysts and investors to a telephone  conference,  where
the quarterly report for first half 2004 will be discussed on 12 August 2004, at
17.00 Danish time. The telephone  conference will be conducted in English and be
hosted by CEO Klaus Kjaerulff and CFO Klaus Nyborg. To participate,  please call
10 minutes  before  the start of the  conference  on tel:  +45 32 71 46 11 (from
Europe) or +1 334 323 6203 (from the US). The telephone  conference will also be
accessible via the Internet (www.torm.com),  from where the presentation used in
the telephone conference can also be downloaded.






Income statement

1 January - 30 June 2004

                                                            First half 2004    First half 2003                2003
DKK mill.
                                                                                                    
Net revenue                                                           1,216                939               1,928
Port expenses and bunkers                                              -226               -327                -621
                                                        -----------------------------------------------------------

Time Charter Equivalent Earnings                                        990                612               1,307

Charter hire                                                           -170               -191                -405
Technical running costs                                                -140               -121                -255
                                                        -----------------------------------------------------------

Gross profit                                                            680                300                 647

Profit on sale of vessels and interests                                   0                  0                   0
Administrative expenses                                                 -70                -67                -126
Other operating income                                                   31                 26                  51
                                                        -----------------------------------------------------------

Profit before depreciation                                              641                259                 572

Depreciation                                                           -101                -86                -177
                                                        -----------------------------------------------------------

Profit before financial items                                           540                173                 395

Net gain/(loss) from other investments and securities                   551                 56                 682
Other financial items                                                    28                  7                 -25
                                                        -----------------------------------------------------------

Profit before tax                                                     1,119                236               1,052

Tax                                                                       0                  0                  -1
                                                        -----------------------------------------------------------

Net profit for the period                                             1,119                236               1,051
                                                        -----------------------------------------------------------








Balance sheet
                                                                        30 June 2004       31 December 2003
DKK mill.

ASSETS
FIXED ASSETS
Tangible fixed assets
                                                                                                
Leasehold improvements                                                             0                      2
Land and buildings                                                                 2                      3
Vessels and capitalized dry-docking                                            3,711                  2,944
Prepayment on vessels under construction                                         138                    229
Other plant and operating equipment                                               17                     15
                                                             -----------------------------------------------
                                                                               3,868                  3,193
                                                             -----------------------------------------------

Financial fixed assets
Other investments                                                              1,530                    976
                                                             -----------------------------------------------
                                                                               1,530                    976
                                                             -----------------------------------------------

TOTAL FIXED ASSETS                                                             5,398                  4,169
                                                             -----------------------------------------------

CURRENT ASSETS
Inventories
Inventories of bunkers                                                            25                     26
                                                             -----------------------------------------------

Accounts receivables
Freight receivables, etc.                                                        156                    147
Other receivables                                                                 41                     51
Prepayments                                                                       21                     22
                                                             -----------------------------------------------
                                                                                 218                    220
                                                             -----------------------------------------------
Securities
Bonds                                                                            322                    316
                                                             -----------------------------------------------

Cash at bank and in hand                                                         251                    163
                                                             -----------------------------------------------

TOTAL CURRENT ASSETS                                                             816                    725
                                                             -----------------------------------------------

TOTAL ASSETS                                                                   6,214                  4,894
                                                             -----------------------------------------------







Balance sheet

                                                                             30 June 2004      31 December 2003
DKK mill.

SHAREHOLDERS' EQUITY
                                                                                               
Common shares                                                                    364                    182
Own shares                                                                       -46                    -52
Retained profit                                                                3,056                  2,116
Proposed dividend                                                                  0                    218
                                                                 -------------------------------------------

TOTAL SHAREHOLDERS' EQUITY                                                     3,374                  2,464
                                                                 -------------------------------------------

LIABILITIES
Long-term liabilities
Mortgage debt and bank loans                                                   2,281                  1,701
Capitalized lease obligations                                                      0                      0
                                                                 -------------------------------------------
                                                                               2,281                  1,701
                                                                 -------------------------------------------

Current liabilities
Next year's repayments on mortgage debt and bank loans                           326                    295
Capitalized lease obligations                                                      0                    181
Trade accounts payable                                                            79                     96
Other liabilities                                                                104                    102
Accruals                                                                          50                     55
                                                                 -------------------------------------------
                                                                                 559                    729
                                                                 -------------------------------------------

TOTAL LIABILITIES                                                              2,840                  2,430
                                                                 -------------------------------------------

TOTAL LIABILITIES AND SHAREHOLDERS' EQUITY                                     6,214                  4,894
                                                                 -------------------------------------------





Cash flow statement

                                                              First half 2004
DKK mill.
------------------------------------------------------------------------------

CASH FLOW FROM OPERATING ACTIVITIES
Profit before financial items                                             540
Interest income, exchange rate gains and dividends
received                                                                   84
Interest expenses                                                         -45
                                                         ---------------------
                                                                          579
Adjustments:
Reversal of depreciation and impairment loss                              101
Reversal of other non-cash movements                                       17
Change in inventories, accounts receivables and payables                  -17
                                                         ---------------------


Net cash inflow from operating activities                                 680
                                                         ---------------------

CASH FLOW FROM INVESTING ACTIVITIES
Investment in tangible fixed assets                                      -693
Investment in equity interests and securities                               0
Sale of fixed assets                                                        0
     including profit on sale of vessels                                    0
     (included in operating activities)
                                                         ---------------------

Net cash inflow/(outflow) from investing activities                      -693
                                                         ---------------------

CASH FLOW FROM FINANCING ACTIVITIES
Borrowing, mortgage debt                                                  711
Repayment/redemption, mortgage debt                                      -181
Repayment/redemption, lease liabilities                                  -160
Dividends paid                                                           -210
Purchase/disposals of own shares                                            6
Net settlement share options                                              -59
                                                         ---------------------

Cash inflow/(outflow) from financing activities                           107
                                                         ---------------------


Increase/(decrease) in cash and cash equivalents                           94

Cash and cash equivalents,
   including bonds, at 1 January                                          479
                                                         ---------------------

Cash and cash equivalents,
   including bonds, at 30 June                                            573

------------------------------------------------------------------------------





Shareholders' equity


DKK mill.                                                     First half 2004
-----------------------------------------------------------------------------

Balance at 1 January 2004                                               2,464
Exchange rate adjustment arose upon translation
   from measurement currency
   to presentation currency                                                28
Fair value adjustment of derivative financial instruments                  25
Exercise share options                                                    -59
Disposal of own shares at cost                                              6
Dividends paid                                                           -218
Dividends on own shares                                                     9
Net profit for the period                                               1,119
                                                                    ----------

Balance at 30 June 2004                                                 3,374

-----------------------------------------------------------------------------






Reconciliation  to United States Generally  Accepted  Accounting  Principles (US
GAAP) as of 30 June 2004:

                                                                                 Shareholders'
DKK mill.                                                        Net Income         equity

                                                                              
Net income/Shareholders' equity as reported under Danish GAAP       1,119           3,374

Dry dock costs                                                          0             -41
Reversal of write-down of vessels                                       0             -11
Unrealised gains/losses on marketable securities                     -551               0
Derivative financial instruments                                       18               0
Share options                                                         -61              -5
Deferred tax                                                           10            -345

                                                                 ------------------------
Net income/Shareholders' equity in accordance with US GAAP            536           2,972



A review of principles and methods used in the  reconciliation,  please refer to
the Annual Report for 2003.






Quarter-by-quarter income statement

                                                                             2004
                                                                      Q1             Q2
DKK mill.
-----------------------------------------------------------------------------------------
                                                                                
Net revenue                                                           610             606
Port costs and bunker                                                -123            -103
                                                             -----------------------------

Time Charter Equivalent Earnings                                      487             503

Charter hire                                                          -84             -86
Technical running costs                                               -70             -70
                                                             ----------------------------

Gross profit                                                          333             347

Profit on sale of vessels and interests                                 0               0
Administrative expenses                                               -33             -37
Other operating income                                                 17              14
                                                             ----------------------------

Profit before depreciation                                            317             324

Depreciation                                                          -50             -51
                                                             ----------------------------

Profit before financial items                                         267             273

Net gain/(loss) from other investments and securities                 851            -300
Other financial items                                                 -22              50
                                                             ----------------------------

Profit before tax                                                   1,096              23

Tax                                                                     0               0
                                                             ----------------------------

Net profit for the period                                           1,096              23
                                                             ----------------------------





Quarter-by-quarter cash flow statement

                                                                             2004
                                                                         q1          q2
DKK mill.
------------------------------------------------------------------------------------------

CASH FLOW FROM OPERATING ACTIVITIES
                                                                                
Profit before financial items                                          267            273
Interest income, exchange rate gains and dividends received              6             78
Interest expenses                                                      -22            -23
                                                             ----------------------------
                                                                       251            328
Adjustments:
Reversal of depreciation and impairment loss                            50             51
Reversal of other non-cash movements                                    -6             23
Change in inventories, accounts receivables and payables                13            -30
                                                             ----------------------------

Net cash inflow from operating activities                              308            372

CASH FLOW FROM INVESTING ACTIVITIES
Investment in tangible fixed assets                                   -311           -382
Investment in equity interests and securities                            0              0
Sale of fixed assets                                                     0              0
     including profit on sale of vessels                                 0              0
     (included in operating activities)
                                                             ----------------------------

Net cash inflow/(outflow) from investing activities                   -311           -382

CASH FLOW FROM FINANCING ACTIVITIES
Borrowing, mortgage debt                                               425            286
Repayment/redemption, mortgage debt                                   -181              0
Repayment/redemption, lease liabilities                                -69            -91
Dividends paid                                                           0           -210
Purchase/disposals of own shares                                         6              0
Net settlement share options                                           -27            -32
                                                             ----------------------------

Cash inflow/(outflow) from financing activities                        154            -47
                                                             ----------------------------


Increase/(decrease) in cash and cash equivalents                       151            -57

Cash and cash equivalents,
   including bonds, beginning balance                                  479            630
                                                           -------------------------------

Cash and cash equivalents,
   including bonds, ending balance                                     630            573






                                   SIGNATURES

     Pursuant to the  requirements  of the Securities  Exchange Act of 1934, the
registrant  has duly  caused  this  report  to be  signed  on its  behalf by the
undersigned, thereunto duly authorized.

                           A/S STEAMSHIP COMPANY TORM
                                  (registrant)



Dated: August 16, 2004            By: /s/ Klaus Nyborg
                                         --------------------------
                                  Klaus Nyborg
                                  Chief Financial Officer


03810.0001 #505865