FORM 5 Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b). Form 3 Holdings Reported Form 4 Transactions Reported

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 ANNUAL 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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1. Name and Address of Reporting Person * MAXTED BRIAN F 2. Issuer Name and Ticker or Trading Symbol Kosmos Energy Ltd. [KOS] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) __X__ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) Chief Exploration Officer (Last) (First) (Middle) C/O KOSMOS ENERGY, LLC, 8176 PARK LANE, SUITE 500 3. Statement for Issuer's Fiscal Year Ended (Month/Day/Year) 12/31/2018 (Street) DALLAS, TX 75231 4. If Amendment, Date Original Filed(Month/Day/Year) 6. Individual or Joint/Group Reporting (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 at end of Issuer's Fiscal Year (Instr. 3 and 4) 6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4) 7. Nature of Indirect Beneficial Ownership (Instr. 4) Amount (A) or (D) Price common shares 03/17/2016   G(1) 14,861 D $ 0 1,651,850 D   common shares 03/17/2016   G(1) 14,861 A $ 0 1,189,258 I See footnote (2) common shares 08/01/2017   G(1) 43,080 D $ 0 1,608,770 D   common shares 08/01/2017   G(1) 43,080 A $ 0 1,233,338 (3) I See footnote (2) common shares 10/15/2018   G 351,219 D $ 0 1,257,551 D   common shares 10/15/2018   G 351,219 A $ 0 1,584,557 (3) I See footnote (2) common shares             474,625 I See footnote (4) common shares             6,729,864 I See footnote (5) common shares             563,340 I See footnote (6)

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SEC 2270 (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 at End of Issuer's Fiscal Year (Instr. 4)

10. Ownership Form of Derivative Security: Direct (D) or Indirect (I) (Instr. 4)

11. Nature of Indirect Beneficial Ownership (Instr. 4)

(A)

(D)

Date Exercisable

Expiration Date

Title

Amount or Number of Shares

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
MAXTED BRIAN F C/O KOSMOS ENERGY, LLC 8176 PARK LANE, SUITE 500 DALLAS, TX 75231	  X	Â	  Chief Exploration Officer	Â

Signatures

By: /s/ Richard Stephens, as Attorney-in-Fact		01/18/2019
**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)	Transaction Code G5
(2)	These shares are directly held by the reporting person's wife. The reporting person disclaims beneficial ownership of these shares except to the extent of his pecuniary interest therein.
(3)	These amounts reflect an adjustment of 1,000 shares that resulted from a prior administrative error.
(4)	These shares are directly owned by Maxted Holdings, LLC, an entity controlled by the reporting person. The reporting person disclaims beneficial ownership of these shares except to the extent of his pecuniary interest therein.
(5)	These shares are directly owned by Maxted Family Investments, Ltd., an entity controlled by the reporting person. The reporting person disclaims beneficial ownership of these shares except to the extent of his pecuniary interest therein.
(6)	These shares are directly owned by Maxted Ventures LLC, an entity controlled by the reporting person. The reporting person disclaims beneficial ownership of these shares except to the extent of his pecuniary interest therein.

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