PRESS RELEASE                                                        EXHIBIT V
September 7, 2004

CONTRACT WITH BP SIGNED

Ocean Rig has signed contract with BP for Leiv Eiriksson

Reference is made to announcement dated September 1st regarding a Letter of
Intent with BP's Angola Business Unit for two wells and two optional wells in
continuation, to be drilled on Block 31 offshore Angola. The optional wells can
be exercised on or before October 15th.

Ocean Rig has signed the drilling contract with BP for the 2 + 2 well program
starting on October 1st with a net combined value of approximately $ 59 million.

Ocean Rig owns and operates two of the world's largest and most modern
drilling-rigs, built for ultra deep waters and extreme weather conditions. The
units are currently operating offshore Angola and West of Shetland.

NOTE: THIS PRESS RELEASE CONTAINS FORWARD-LOOKING STATEMENTS (WITHIN THE MEANING
OF SECTION 27A OF THE UNITED STATES SECURITIES ACT OF 1933, AS AMENDED, AND
SECTION 21E OF THE UNITED STATES SECURITIES EXCHANGE ACT OF 1934, AS AMENDED)
WHICH REFLECT THE COMPANY'S CURRENT VIEWS WITH RESPECT TO CERTAIN FUTURE EVENTS
AND FINANCIAL PERFORMANCE. ACTUAL EVENTS OR RESULTS MAY DIFFER MATERIALLY FROM
THOSE PROJECTED OR IMPLIED IN SUCH FORWARD-LOOKING STATEMENTS. THE FOLLOWING
IMPORTANT FACTORS, AMONG OTHER, COULD CAUSE ACTUAL RESULTS TO DIFFER MATERIALLY
FROM THOSE PROJECTED OR IMPLIED IN ANY FORWARD-LOOKING STATEMENTS: (I) THE
LIMITED OPERATIONS AND OPERATING HISTORY OF THE COMPANY; (II) THE FAILURE OF THE
BINGO 9000 DESIGN TO PERFORM SATISFACTORILY OR THE COMPANY'S FAILURE TO
ADEQUATELY PROTECT THE PROPRIETARY NATURE OF THE BINGO 9000 DESIGN; (III) THE
COMPANY'S SIGNIFICANT LEVERAGE OR INABILITY TO GENERATE SUFFICIENT CASH-FLOW TO
MEET ITS DEBT SERVICE REQUIREMENTS; (IV) THE COMPANY'S INABILITY TO MEET ANY
FUTURE CAPITAL REQUIREMENTS; (V) THE COMPANY'S INABILITY TO RESPOND TO
TECHNOLOGICAL CHANGES; (VI) THE IMPACT OF CHANGED CONDITIONS IN THE OIL AND GAS
INDUSTRY; (VII) THE OCCURRENCE OF ANY ACCIDENTS INVOLVING THE COMPANY OR ITS
ASSETS; (VIII) CHANGES IN GOVERNMENTAL REGULATIONS, PARTICULARLY WITH RESPECT TO
ENVIRONMENTAL MATTERS; (IX) INCREASED COMPETITION OR THE ENTRY OF NEW
COMPETITORS INTO THE COMPANY'S MARKETS; AND (X) UNFORESEEN OCCURRENCES IN ANY OF
THE AREAS IN WHICH THE COMPANY MAY CONDUCT ITS OPERATIONS, SUCH AS WAR,
EXPROPRIATION, NATIONALIZATION, RENEGOTIATION OR NULLIFICATION OF EXISTING
LICENSES OR TREATIES, TAXATION AND RESOURCE DEVELOPMENT POLICIES, FOREIGN
EXCHANGE RESTRICTIONS, CHANGING POLITICAL CONDITIONS AND OTHER RISKS RELATING TO
FOREIGN GOVERNMENTAL SOVEREIGNTY OVER CERTAIN AREAS IN WHICH THE COMPANY WILL
CONDUCT OPERATIONS. DUE TO SUCH UNCERTAINTIES AND RISKS, INVESTORS ARE CAUTIONED
NOT TO PLACE UNDUE RELIANCE UPON SUCH FORWARD-LOOKING STATEMENTS. REFERENCE
SHOULD BE MADE TO THE COMPANY'S FILINGS WITH THE UNITED STATES SECURITIES AND
EXCHANGE COMMISSION.

FOR FURTHER INFORMATION, PLEASE CONTACT KAI SOLBERG-HANSEN, MANAGING DIRECTOR,
OR SENIOR VICE PRESIDENT FINANCE CHRISTIAN MOWINCKEL, TEL: +47   51 96 90 00.

STAVANGER, SEPTEMBER 7, 2004
OCEAN RIG ASA


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