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 * O'Shea Paul James   2. Issuer Name and Ticker or Trading Symbol Enstar Group LTD [ESGR] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) __X__ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) President (Last) (First) (Middle) P.O. BOX HM 2267, WINDSOR PLACE, 3RD FLOOR, 22 QUEEN STREET 3. Date of Earliest Transaction (Month/Day/Year) 08/13/2017 (Street) HAMILTON, D0 HM JX 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 08/13/2017   M(1)   183,333 A $ 141.1 224,337 (2) D   Ordinary Shares 08/13/2017   D(1)   183,333 D $ 198 41,004 (2) D   Ordinary Shares               154,331 I By the Elbow Trust

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

Cash-Settled Stock Appreciation Right

$ 141.1

08/13/2017

M(1)

183,333

08/13/2017

08/13/2018

Ordinary Shares (3)

183,333

$ 0

0

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
O'Shea Paul James P.O. BOX HM 2267, WINDSOR PLACE 3RD FLOOR, 22 QUEEN STREET HAMILTON, D0 HM JX	X		President

Signatures

/s/ Audrey B. Taranto by power of attorney		08/15/2017
**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)	Exercise of the Cash-Settled Stock Appreciation Rights (the "SARs") is reported as the simultaneous purchase and sale to the issuer of the number of ordinary shares for which the SARs were exercised. Pursuant to their terms, the SARs were only exercisable in cash and the reporting person did not receive any ordinary shares.
(2)	Includes 9,375 RSUs that vest in three equal annual installments on May 10, 2018, 2019 and 2020.
(3)	The SARs are settled in cash, and the reporting person will not receive issuer ordinary shares upon exercise.

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

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