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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(Print or Type Responses)

1. Name and Address of Reporting Person * Mey Mark-Anthony Lovell   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) EVP & CFO (Last) (First) (Middle) 10 CHEMIN DE BLANDONNET 3. Date of Earliest Transaction (Month/Day/Year) 05/28/2015 (Street) VERNIER V8, 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

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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

Deferred Units

(1)

05/28/2015

A

153,374

(1)

(1)

Registered Shares

153,374

$ 0

153,374

D

Deferred Units

(2)

05/28/2015

A

67,485

(2)

(2)

Registered Shares

67,485

$ 0

67,485

D

Deferred Units

(3)

05/28/2015

A

67,485

(3)

(3)

Registered Shares

67,485

$ 0

67,485

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
Mey Mark-Anthony Lovell 10 CHEMIN DE BLANDONNET VERNIER V8, V8 1214			EVP & CFO

Signatures

/s/Jill S. Greene By Power of Attorney		06/01/2015
**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)	The Deferred Units were acquired on May 28, 2015, by the reporting person pursuant to the Issuer's long-term incentive plan and vest as follows: 51,125 on May 28, 2016; 51,125 on May 28, 2017; and 51,124 on May 28, 2018.
(2)	The Deferred Units were acquired on May 28, 2015, by the reporting person pursuant to the Issuer's long-term incentive plan and vest as follows: 22,495 on May 28, 2016; 22,495 on May 28, 2017; and 22,495 on May 28, 2018.
(3)	An equity award of performance units pursuant to the Issuer's long-term incentive plan which vest on December 31, 2017, subject to the achievement of certain performance metrics pre-determined by the Issuer's Board of Directors and currently in place for the Issuer's 2015-2017 performance cycle.

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