FORM 3
        
UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549
INITIAL STATEMENT OF 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 * Shah Nealesh D. 2. Date of Event Requiring Statement (MM/DD/YYYY)
5/11/2020 

3. Issuer Name and Ticker or Trading Symbol Kosmos Energy Ltd. [KOS]
(Last)       (First)       (Middle)
8176 PARK LANE, SUITE 500
4. Relationship of Reporting Person(s) to Issuer (Check all applicable)_____ Director                          _____ 10% Owner
___X___ Officer (give title below)        _____ Other (specify below)
SVP and CFO /
(Street)
DALLAS, TX 75231      
(City)             (State)             (Zip)
5. 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 Beneficially Owned
1.Title of Security
(Instr. 4)
2. Amount of Securities Beneficially Owned
(Instr. 4)
3. Ownership Form: Direct (D) or Indirect (I)
(Instr. 5)
4. Nature of Indirect Beneficial Ownership
(Instr. 5)
Common Stock  599906 (1) D   

Table II - Derivative Securities Beneficially Owned (e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivate Security
(Instr. 4)
2. Date Exercisable and Expiration Date
(MM/DD/YYYY)
3. Title and Amount of Securities Underlying Derivative Security
(Instr. 4)
4. Conversion or Exercise Price of Derivative Security 5. Ownership Form of Derivative Security: Direct (D) or Indirect (I)
(Instr. 5)
6. Nature of Indirect Beneficial Ownership
(Instr. 5)
Date Exercisable Expiration Date Title Amount or Number of Shares

Explanation of Responses:
(1)  This number includes: (a) 508,740 shares of common stock of the Issuer held by the Reporting Person; (b) 13,333 restricted share units that were granted to the Reporting Person under the Issuer's Long Term Incentive Plan (the "Plan") on January 22, 2018, (c) 28,333 restricted share units that were granted to the Reporting Person under the Plan on January 31, 2019; and (d) 49,500 restricted share units that were granted to the Reporting Person under the Plan on January 31, 2020.

Reporting Owners
Reporting Owner Name / Address
Relationships
Director 10% Owner Officer Other
Shah Nealesh D.
8176 PARK LANE, SUITE 500
DALLAS, TX 75231


SVP and CFO

Signatures
By: /s/ Richard J Stephens, as Attorney-in-Fact 5/12/2020
**Signature of Reporting Person Date
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