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. 6 - 2004
issued by A/S STEAMSHIP  COMPANY TORM to The Copenhagen  Stock Exchange on April
16, 2004.

Exhibit 1


16 April 2004

Change of date for first quarter 2004 results

TORM has changed the date for  publication  of the first  quarter 2004 to 19 May
2004.  The release of the  results  will take place in late  afternoon  or early
evening, Copenhagen time, following a Board meeting.

A conference call to discuss the results is scheduled for Monday, 24 May 2004 at
17.00 CET (Copenhagen time). The conference call will also be accessible via the
Internet  (  To  participate  in the call,  please  call 10 minutes
before the start on tel.: +45 32 71 46 11 (from Europe) or +1 334 420 4950 (from
the US).

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

03810.0001 #479536