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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1. Name and Address of Reporting Person * Lowery-Yilmaz Barbara J   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) 1185 AVENUE OF THE AMERICAS 3. Date of Earliest Transaction (Month/Day/Year) 03/06/2018 (Street) NEW YORK, NY 10036 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 Common Stock, $1.00 par value 03/06/2018   A   6,394 A $ 0 54,500 D   Common Stock, $1.00 par value 03/06/2018   S(1)   1,014 D $ 48.71 53,486 D   Common Stock, $1.00 par value 03/07/2018   S(1)   494 D $ 46.65 52,992 (2) D

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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

2018 Performance Share Unit (3)

$ 0

03/06/2018

A

15,591

(4)

(4)

Common Stock, $1.00 par value

31,182

$ 0

15,591

D

Option to purchase Common Stock

$ 48.48

03/06/2017

A

7,548

03/06/2019

03/06/2028

Common Stock, $1.00 par value

7,548

$ 0

7,548

D

Option to purchase Common Stock

$ 48.48

03/06/2018

A

7,548

03/06/2020

03/06/2028

Common Stock, $1.00 par value

7,548

$ 0

7,548

D

Option to purchase Common Stock

$ 48.48

03/06/2018

A

7,548

03/06/2021

03/06/2028

Common Stock, $1.00 par value

7,548

$ 0

7,548

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
Lowery-Yilmaz Barbara J 1185 AVENUE OF THE AMERICAS NEW YORK, NY 10036			Senior Vice President

Signatures

Barry Schachter for Barbara Lowery-Yilmaz		03/08/2018
**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)	Shares sold solely to satisfy tax withholding on vesting of shares of restricted stock.
(2)	This amount includes 33,803 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.
(3)	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, 2020, as more particularly described in the applicable award agreement.
(4)	Not applicable.

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