UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549


                                    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): December 10, 2004


                                 TRANSOCEAN INC.
             (Exact name of registrant as specified in its charter)


         CAYMAN ISLANDS                 333-75899               66-0587307

(State or other jurisdiction of        (Commission           (I.R.S. Employer
 incorporation or organization)        File Number)         Identification No.)


                                4 GREENWAY PLAZA
                              HOUSTON, TEXAS 77046
              (Address of principal executive offices and zip code)


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

          (Former name or former address, if changed since last report)

Check the appropriate box below if the Form 8-K filing is intended to
simultaneously satisfy the filing obligation of the registrant under any of the
following provisions (see General Instruction A.2. below):

[ ] Written communications pursuant to Rule 425 under the Securities Act (17 CFR
230.425)
[ ] Soliciting material pursuant to Rule 14a-12 under the Exchange Act (17 CFR
240.14a-12)
[ ] Pre-commencement communications pursuant to Rule 14d-2(b) under the Exchange
Act (17 CFR 240.14d-2(b))
[ ] Pre-commencement communications pursuant to Rule 13e-4(c) under the Exchange
Act (17 CFR 240.13e-4(c))


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ITEM 8.01. OTHER EVENTS.

On  December  10,  2004,  Transocean  Inc.  (the  "Company")  announced that, on
December  9, 2004, its offer to purchase any and all of its 8.00% Debentures due
April  15,  2027  expired.  Pursuant to the offer to purchase, a total of $142.2
million  in  aggregate  principal amount of the Debentures had been tendered for
purchase,  representing  approximately  71.1%  of  the  aggregate  outstanding
principal  amount.  The  Company  accepted all tendered Debentures for purchase.
Settlement  for  the tendered Debentures was made by the Company on December 10,
2004  and  was  funded  from existing cash balances on hand. A copy of the press
release  issued  by the Company announcing the expiration of the tender offer is
attached  as  Exhibit  99.1  to  this  report.


ITEM  9.01.  FINANCIAL  STATEMENTS  AND  EXHIBITS.

The following exhibit is furnished pursuant to Item 8.01:

EXHIBIT NUMBER                      DESCRIPTION
--------------                      -----------
99.1                                Press Release


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                                   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.

                                        TRANSOCEAN INC.


Date:  December 13, 2004                By:    /s/  William E. Turcotte
                                               ---------------------------------
                                        Name:  William E. Turcotte
                                        Title: Associate General Counsel


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                                INDEX TO EXHIBITS


Exhibit Number                Description
--------------                -----------

     99.1                     Press Release


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