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
                                                                                  
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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 *

Mohn Frederik Wilhelm 		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)
Code V Amount (A) or (D) Price
Shares                  22148   D    
Shares                  2054   I   By spouse  
Shares                  660000   I   See footnote   (1)
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)
Code V (A) (D) Date Exercisable Expiration Date Title Amount or Number of Shares
0.5% Exchangeable Senior Bonds due 2023     (2)                  1/30/2018   1/30/2023   Shares     (2)   $185000   (2) D    
0.5% Exchangeable Bonds due 2023     (2)                  1/30/2018   1/30/2023   Shares     (2)   $17000   (2) I   By spouse  
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 AS continues to hold the remaining 660,000 Shares of the Company that it held as of March 16, 2018. 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 Mr. Mohn'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.

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


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