Statement of Changes in Beneficial Ownership (4)

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	OMB APPROVAL OMB Number: 3235-0287 Estimated average burden hours per response... 0.5
	Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934 or Section 30(h) of the Investment Company Act of 1940

1. Name and Address of Reporting Person ^* Perestroika	2. Issuer Name and Ticker or Trading Symbol Transocean Ltd. [ RIG ]	5. Relationship of Reporting Person(s) to Issuer (Check all applicable) __ X __ Director __ X __ 10% Owner _____ Officer (give title below) _____ Other (specify below)
(Last) (First) (Middle) TURMSTRASSE 30	3. Date of Earliest Transaction (MM/DD/YYYY) 6/15/2018
(Street) STEINHAUSEN, V8 6312 (City) (State) (Zip)	4. If Amendment, Date Original Filed (MM/DD/YYYY)	6. Individual or Joint/Group Filing (Check Applicable Line) _ X _ Form filed by One Reporting Person ___ Form filed by More than One Reporting Person

Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1.Title of Security (Instr. 3)	2. Trans. Date	2A. Deemed Execution Date, if any	3. Trans. 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)
1.Title of Security (Instr. 3)	2. Trans. Date	2A. Deemed Execution Date, if any	Code	V	Amount	(A) or (D)	Price		6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4)	7. Nature of Indirect Beneficial Ownership (Instr. 4)
Shares								660000	D
Shares								32436351	I	See footnote ⁽¹⁾

*Table II - Derivative Securities Beneficially Owned ( e.g.* , puts, calls, warrants, options, convertible securities)**
1. Title of Derivate Security (Instr. 3)	2. Conversion or Exercise Price of Derivative Security	3. Trans. Date	3A. Deemed Execution Date, if any	4. Trans. 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		7. Title and Amount of Securities Underlying Derivative Security (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)
1. Title of Derivate Security (Instr. 3)	2. Conversion or Exercise Price of Derivative Security	3. Trans. Date	3A. Deemed Execution Date, if any	Code	V	(A)	(D)	Date Exercisable	Expiration Date	Title	Amount or Number of Shares	8. Price of Derivative Security (Instr. 5)			11. Nature of Indirect Beneficial Ownership (Instr. 4)
0.5% Exchangeable Senior Bonds due 2023	⁽²⁾							1/30/2018	1/30/2023	Shares	⁽²⁾		$355611000 ⁽²⁾	I	See footnote ⁽¹⁾

Explanation of Responses:
(1)	On March 16, 2018, Perestroika AS transferred 32,436,351 of its Shares of Transocean Ltd. (the "Company") and its 0.5% Exchangeable Senior Bonds due 2023 (the "Exchangeable Bonds") to Perestroika (Cyprus) Ltd. Perestroika (Cyprus) Ltd. is a wholly owned subsidiary of Perestroika AS. Mr. Mohn is the sole owner and director of Perestroika AS and is the beneficial owner of all securities owned by Perestroika AS and Perestroika (Cyprus) Ltd. While this change in the form of Perestroika AS's indirect beneficial ownership is exempt from reporting, this Form 4 is being voluntarily filed early to report this change.
(2)	The Exchangeable Bonds are issued by Transocean Inc., a wholly owned subsidiary of the Company, and fully and unconditionally guaranteed by the Company. The Exchangeable Bonds are exchangeable into Shares of the Company at an initial rate of 97.29756 Shares per $1,000 principal amount of Exchangeable Bonds, which initial rate is subject to adjustment in accordance with the Indenture, dated January 30, 2018, among Transocean Inc., the Company, Computershare Trust Company, N.A. and Computershare Trust Company of Canada. The Exchangeable Bonds are exchangeable at any time prior to and up to the maturity date of January 30, 2023.

Remarks:
Perestroika (Cyprus) Ltd. is a wholly owned subsidiary of Perestroika AS. Due to Perestroika AS's designation of a member of the board of directors of the Company, Perestroika (Cyprus) Ltd. may be deemed to be a director of the Company by deputization. Perestroika AS's right to designate a member of the Company's board of directors has since terminated.

Reporting Owners
Reporting Owner Name / Address	Relationships
Reporting Owner Name / Address	Director	10% Owner	Officer	Other
Perestroika TURMSTRASSE 30 STEINHAUSEN, V8 6312	X	X

Signatures
Daniel Ro-Trock By Power of Attorney		6/15/2018
^** Signature of Reporting Person		Date

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
*	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).
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