FORM 4 Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940

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1. Name and Address of Reporting Person * BROWN ERIC B   2. Issuer Name and Ticker or Trading Symbol TRANSOCEAN INC [RIG] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) Sr. VP, Gen Counsel & Corp Sec (Last) (First) (Middle) 4 GREENWAY PLAZA 3. Date of Earliest Transaction (Month/Day/Year) 04/11/2006 (Street) HOUSTON, TX 77046 4. If Amendment, Date Original Filed(Month/Day/Year) 6. Individual or Joint/Group Filing(Check Applicable Line) _X_ Form filed by One Reporting Person ___ Form filed by More than One Reporting Person (City) (State) (Zip) Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned

1.Title of Security (Instr. 3) 2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code (Instr. 8) 4. Securities Acquired (A) or Disposed of (D) (Instr. 3, 4 and 5) 5. Amount of Securities Beneficially Owned Following Reported Transaction(s) (Instr. 3 and 4) 6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4) 7. Nature of Indirect Beneficial Ownership (Instr. 4) Code V Amount (A) or (D) Price Ordinary Shares 04/11/2006   A(1)   17,232 A (1) 40,549 D   Ordinary Shares 04/11/2006   F(3)   2,094 D (3) 38,455 D   Ordinary Shares               1,699 I By Issuer Employee Stock Purchase Plan

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Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)

1. Title of Derivative Security (Instr. 3)

2. Conversion or Exercise Price of Derivative Security

3. Transaction Date (Month/Day/Year)

3A. Deemed Execution Date, if any (Month/Day/Year)

4. Transaction Code (Instr. 8)

5. Number of Derivative Securities Acquired (A) or Disposed of (D) (Instr. 3, 4, and 5)

6. Date Exercisable and Expiration Date (Month/Day/Year)

7. Title and Amount of Underlying Securities (Instr. 3 and 4)

8. Price of Derivative Security (Instr. 5)

9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s) (Instr. 4)

10. Ownership Form of Derivative Security: Direct (D) or Indirect (I) (Instr. 4)

11. Nature of Indirect Beneficial Ownership (Instr. 4)

Code

V

(A)

(D)

Date Exercisable

Expiration Date

Title

Amount or Number of Shares

Stock Options

$ 28.12

04/11/2006

A

27,811

(2)

07/07/2014

Ordinary Shares

27,811

$ 0

27,811

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
BROWN ERIC B 4 GREENWAY PLAZA HOUSTON, TX 77046			Sr. VP, Gen Counsel & Corp Sec

Signatures

William E. Turcotte by Power of Attorney		04/11/2006
**Signature of Reporting Person		Date

Explanation of Responses:

*	If the form is filed by more than one reporting person, see Instruction 4(b)(v).
**	Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1)	On July 8, 2004, the reporting person was awarded a contingent, performance based grant for an opportunity to earn 24,270 restricted shares. This opportunity was subject to the satisfaction of certain performance criteria based upon specified peer groups. Depending upon the issuer's performance within the peer groups, the reporting person could earn some, all or none of the shares. The issuer's actual performance resulted in 17,232 restricted shares being granted, which vest as follows: 5,744 on April 11, 2006, 5,744 on January 1, 2007 and 5,744 on January 1, 2008.
(2)	On July 8, 2004, the reporting person was awarded a contingent, performance based grant of 39,170 stock options, which were subject to the satisfaction of certain performance criteria based upon specified peer groups. Depending upon the issuer's performance within the peer groups, the reporting person could earn some, all or none of the options. The issuer's actual performance resulted in options to purchase 27,811 shares being earned, which vest as follows: 9,270 on April 11, 2006, 9,270 on January 1, 2007 and 9,271 on January 1, 2008.
(3)	Shares automatically withheld upon vesting to satisfy tax withholding obligations.

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