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 April 2004

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

                                   Marina Park
                                Sundkrogsgade 10
                              DK-2100 Copenhagen 0
                    (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
                                     -------      -------


     Set forth herein as Exhibit 1 is a copy of a Announcement No. 7 - 2004
issued by A/S STEAMSHIP COMPANY TORM to The Copenhagen Stock Exchange on April
20, 2004

Exhibit 1


20 April 2004

Annual General Meeting in A/S Dampskibsselskabet TORM 20th April 2004

At the Annual General Meeting the following took place:

     o    Annual Report 2003 was approved.

     o    A dividend of DKK 12 per DKK 10 share (120%) as recommended by the
          Board of Directors was approved.

     o    State authorized public accountants Ernst & Young and Deloitte were

     o    The proposal from the Board of Directors to increase the share capital
          from DKK 182,000,000 to DKK 364,000,000 by issue of bonus shares at
          the ratio of 1:1 was unanimously approved. The proposal was motivated
          by a wish for maintaining and improving the liquidity of the Company's
          shares and for increasing the share capital in order to reflect the
          size of the Company in the capital structure.

     o    Authorisation to increase the share capital with up to DKK 182,000,000
          corresponding to 50% was renewed until 1st April 2009.

     o    Authorisation to purchase the Company's own shares was renewed.

The Chairman, Mr. N. E. Nielsen, stated in his report that the Company's share
price has risen 223% during 2003 including payment of the dividend of DKK 2 per
share approved at the Annual General Meeting in April 2003.

The expectations for the 2004 result on own activities before tax of 750 - 800
million were maintained.

The Chairman announced that a prospectus covering the bonus share issue will be
published on 27 April 2004 through the Copenhagen Stock Exchange and on the same
day be distributed to all registered shareholders as well as be available for
review at the main office of A/S Dampskibsselskabet TORM. Allotment of the bonus
shares will take place and be registered as of the daily update on 6 May 2004 in
the Danish Securities Center (in Danish: "Vaerdipapircentralen") with 10 May
2004 as the value date.

At the Board of Directors meeting immediately following the Annual General
Meeting, the Board of Directors then elected Mr. N. E. Nielsen as Chairman and
Mr. Christian Frigast as Deputy Chairman.

Accordingly, the Board of Directors going forward is made up of the following

           N. E. Nielsen (Chairman)
           Christian Frigast (Deputy Chairman)
           Ditlev Engel
           Rex Harrington
           Gabriel Panayotides
           Peder Mouridsen (elected by the employees)
           Lennart Arnold Johan Arrias (elected by the employees).

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


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

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 drydocking, 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.


     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

Dated: April 23, 2004                           By: /s/ Klaus Nyborg
                                                        Klaus Nyborg
                                                        Chief Financial Officer

03810.0001 #481253