SECURITIES AND EXCHANGE COMMISSION

FORM 8-K

CURRENT REPORT

Pursuant to Section 13 or 15(d)
of the Securities Exchange Act of 1934

Date of Report (date of earliest event reported): June 30, 2004

TRANSOCEAN INC.

4 Greenway Plaza
Houston, Texas 77046
(Address of principal executive offices and zip code)

Registrant’s telephone number, including area code: (713) 232-7500

1

ITEM 7. FINANCIAL STATEMENTS AND EXHIBITS.

ITEM 9. REGULATION FD DISCLOSURE.

     Transocean Inc. (the “Company”) issues a monthly report entitled “Monthly Fleet Update,” which includes drilling rig status and contract information, including contract dayrate and duration. This month’s report is dated as of June 30, 2004 and is included as Exhibit 99.1 to this Current Report on Form 8-K and is incorporated herein by reference. You may also subscribe to the free Transocean Financial Report Alert which will alert you to new Monthly Fleet Updates. This service will send you an automated email which will provide a link directly to the web page containing the updated report. You may subscribe to this service at the “Investor Relations / Email Alerts” section of the site by selecting “Transocean Financial Report Alert” and providing your email address. The Company’s website may be found at www.deepwater.com.

     The statements made in the Monthly Fleet Update that are not historical facts are forward-looking statements within the meaning of Section 27A of the Securities Act of 1933 and Section 21E of the Securities Exchange Act of 1934. Forward-looking statements made in the Monthly Fleet Update include, but are not limited to, statements involving the estimated duration of client contracts, contract dayrate amounts and future contract commencement dates and locations. Such statements are subject to numerous risks, uncertainties and assumptions, including but not limited to, uncertainties relating to the level of activity in offshore and U.S. inland marine oil and gas exploration and development, exploration success by producers, oil and gas prices, competition and market conditions in the contract drilling industry, actions and approvals of third parties, possible cancellation or suspension of drilling contracts as a result of mechanical difficulties or performance, the Company’s ability to enter into and the terms of future contracts, the availability of qualified personnel, labor relations and the outcome of negotiations with unions representing workers, operating hazards, political and other uncertainties inherent in non-U.S. operations (including the risk of war and civil disturbance, seizure or damage of equipment and exchange and currency fluctuations), the impact of governmental laws and regulations, the adequacy of sources of liquidity, the effect of litigation and contingencies and other factors described above and discussed in the Company’s Form 10-K for the year ended December 31, 2003 and in the Company’s other filings with the SEC, which are available free of charge on the SEC’s website at www.sec.gov. Should one or more of these risks or uncertainties materialize, or should underlying assumptions prove incorrect, actual results may vary materially from those indicated. You should not place undue reliance on forward-looking statements. Each forward-looking statement speaks only as of the date of the particular statement, and we undertake no obligation to publicly update or revise any forward looking statements.

     The information in Item 9 of this report, including Exhibit 99.1, is being furnished, not filed. Accordingly, the information in Item 9 of this report will not be incorporated by reference into any registration statement filed by the Company under the Securities Act of 1933, as amended, unless specifically identified therein as being incorporated therein by reference. The furnishing of the information in this report is not intended to, and does not, constitute a determination or admission by the Company that the information in this report is material or complete, or that investors should consider this information before making an investment decision with respect to any security of the Company.

2

     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.

3

INDEX TO EXHIBITS

1