Washington, D. C. 20549

                                    FORM 6-K

                        RULE 13A-16 OR 15D-16 UNDER THE
                         SECURITIES EXCHANGE ACT OF 1934

                           For the month of April 2007

                        Commission File Number: 000-49650

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

                               Tuborg Havnevej 18
                                DK-2900 Hellerup
                    (Address of principal executive offices)

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

Indicate by check mark if the registrant is submitting the Form 6-K in paper as
permitted by Regulation S-T Rule 101(b)(1): ________.

Note: Regulation S-T Rule 101(b)(1) only permits the submission in paper of a
Form 6-K if submitted solely to provide an attached annual report to security

Indicate by check mark if the registrant is submitting the Form 6-K in paper as
permitted by Regulation S-T Rule 101(b)7: ________.

Note: Regulation S-T Rule 101(b)(7) only permits the submission in paper of a
Form 6-K if submitted to furnish a report or other document that the registrant
foreign private issuer must furnish and make public under the laws of the
jurisdiction in which the registrant is incorporated, domiciled or legally
organized (the registrant's "home country"), or under the rules of the home
country exchange on which the registrant's securities are traded, as long as the
report or other document is not a press release, is not required to be and has
not been distributed to the registrant's security holders, and, if discussing a
material event, has already been the subject of a Form 6-K submission or other
Commission filing on EDGAR.

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 ]

If "Yes" is marked, indicate below the file number assigned to the registrant in
connection with Rule 12g3-2(b): _____________.


Set forth herein as Exhibit 1 is a copy of Announcement No. 6 - 2007 -
Announcing Share-Buy-Back-Program issued by A/S STEAMSHIP COMPANY TORM (the
"Company") to The Copenhagen Stock Exchange on April 17, 2007.

                                                                      Exhibit 1

                                                           17 April 2007



At TORM's Ordinary General Meeting on 17 April 2007 at 10.00 a.m. the Chairman
of the Company's Board of Directors will inform as follows about the planned
share-buy-back-programme mentioned in the Annual Report: The
share-buy-back-programme amounts to DKK 2 billion and is planned to be launched
in the second quarter of 2007.

Contact N. E. Nielsen, Chairman, tel.: +45 72 27 00 00.

About TORM
TORM is one of the World's leading carriers of refined oil products and has
significant activi-ties in the bulk market. The Company operates close to 100
modern and secure vessels, most of them in pool co-operation with other
respected shipping companies, sharing TORM's commitment to safety,
environmental responsibility and customer service.

TORM was founded in 1889 and has constantly adapted itself and benefited from
the significant changes characterizing shipping. The Company conducts business
all over the World and is headquartered in Copenhagen, Denmark. TORM's shares
are listed in Copenhagen (ticker TORM) as well as on NASDAQ (ticker TRMD). For
more information, visit


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
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.


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 17, 2007
                                                    By: /s/ Klaus Kjaerulff
                                                        Klaus Kjaerulff
                                                        Chief Executive Officer

SK 03810 0001 765713