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 *

Lynch Richard D.
2. Issuer Name and Ticker or Trading Symbol

HESS CORP [ HES ]
5. Relationship of Reporting Person(s) to Issuer (Check all applicable)

_____ Director                    _____ 10% Owner
__X__ Officer (give title below)    _____ Other (specify below)
Senior Vice President
(Last)          (First)          (Middle)

C/O HESS CORPORATION, 1185 AVENUE OF THE AMERICAS
3. Date of Earliest Transaction (MM/DD/YYYY)

2/4/2020
(Street)

NEW YORK, NY 10036
(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
Common Stock, $1.00 par value 2/4/2020  M  28376 (1)A$0.00 43622 D  
Common Stock, $1.00 par value 2/6/2020  S(2)  8796 D$57.68 34826 (3)D  

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 Security3. Trans. Date3A. Deemed Execution Date, if any4. 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 Date7. 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)
CodeV(A)(D)Date ExercisableExpiration DateTitleAmount or Number of Shares
2017 Performance Share Unit $0.00 2/4/2020  M     14188   (4) (4)Common Stock, $1.00 par value 28376 $0.00 0 D  

Explanation of Responses:
(1) Represents shares of Hess Corporation common stock earned upon vesting of Performance Share Units granted on March 6, 2017, based on the relative performance of total shareholder return of Hess common stock compared with that of its peers over the three-year performance period ending December 31, 2019.
(2) Shares sold solely to satisfy tax withholding on vesting of shares of Hess Corporation common stock earned from Performance Share Units
(3) This amount includes 9,477 shares held in escrow pursuant to the Corporation's Long Term Incentive Plans. The reporting person has only voting power of these shares until lapsing of the period set by the Committee administering the Plans at which time the shares plus accrued dividends will be delivered to the reporting person if he is still an employee of the Corporation.
(4) Each Performance Share Unit entitles the holder to a payout of shares of Hess common stock equal to between 0% and 200% of such Performance Share Unit depending on the relative performance of the total shareholder return of Hess common stock compared with that of its peers over a three year performance period ending December 31, 2019, as more particularly described in the applicable award agreement.

Reporting Owners
Reporting Owner Name / Address
Relationships
Director10% OwnerOfficerOther
Lynch Richard D.
C/O HESS CORPORATION
1185 AVENUE OF THE AMERICAS
NEW YORK, NY 10036


Senior Vice President

Signatures
Barry Schachter for Richard D. Lynch2/6/2020
**Signature of Reporting PersonDate

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