Ownership Submission
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
OMB APPROVAL
OMB Number: 3235-0287
Expires: January 31, 2005
Estimated average burden hours per response... 0.5

(Print or Type Responses)
1. Name and Address of Reporting Person *
BROWN ERIC B
  2. Issuer Name and Ticker or Trading Symbol
Transocean Ltd. [RIG]
5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
_____ Director _____ 10% Owner
__X__ Officer (give title below) _____ Other (specify below)
SrVP, Gen Cnsl & Asst Corp Sec
(Last)
(First)
(Middle)
BUILDING F, 7TH FLOOR, CHEMIN DE BLANDONNET 2
3. Date of Earliest Transaction (Month/Day/Year)
02/12/2009
(Street)

VERNIER, V8 1214
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 02/12/2009   F(1)   454 D (1) 12,061 (2) D  
Ordinary Shares               708 (3) I By Issuer Employee Stock Purchase Plan

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
Persons who respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB control number. SEC 1474 (9-02)

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 $ 60.19 02/12/2009   A   30,545   02/12/2010(4) 02/11/2019 Ordinary Shares 30,545 $ 0 30,545 D  

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
BROWN ERIC B
BUILDING F, 7TH FLOOR
CHEMIN DE BLANDONNET 2
VERNIER, V8 1214
      SrVP, Gen Cnsl & Asst Corp Sec  

Signatures

 Chipman Earle by Power of Attorney   02/17/2009
**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) Shares automatically withheld upon vesting to satisfy tax withholding obligations.
(2) On December 19, 2008, Transocean Ltd., a Swiss corporation, became the successor of Transocean Inc., a Cayman Islands company, pursuant to a merger by way of schemes of arrangement under Cayman Islands law (the "Transaction") in which each holder of Transocean Inc. ordinary shares outstanding immediately prior to the Transaction received one registered share of Transocean Ltd. in exchange for each outstanding ordinary share of Transocean Inc. The Transaction had the effect of changing the place of incorporation of Transocean's group holding company from the Cayman Islands to Switzerland but did not alter the proportionate interests of security holders.
(3) Shares owned under the issuer's Employee Stock Purchase Plan. Reflects 171 shares acquired under the issuer's Employee Stock Purchase Plan since the reporting person's last ownership report.
(4) On February 12, 2009, the reporting person was awarded 30,545 stock options which vest as follows: 10,181 on February 12, 2010; 10,182 on February 12, 2011; and 10,182 on February 12, 2012.

Note: File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.

Potential persons who are to respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB number.