Initial Statement of Beneficial Ownership (3)

FORM 3	UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 INITIAL STATEMENT OF BENEFICIAL OWNERSHIP OF SECURITIES	OMB APPROVAL OMB Number: 3235-0104 Estimated average burden hours per response... 0.5
	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. Date of Event Requiring Statement (MM/DD/YYYY) 4/2/2018

3. Issuer Name and Ticker or Trading Symbol

HESS CORP [HES]

(Last) (First) (Middle)

C/O HESS CORPORATION, 1185 AVENUE OF THE AMERICAS

4. Relationship of Reporting Person(s) to Issuer (Check all applicable)

_____ Director _____ 10% Owner
___ X ___ Officer (give title below) _____ Other (specify below)
Senior Vice President /

(Street)

NEW YORK, NY 10036

(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, $1.00 par value	33363	D ⁽¹⁾

*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)
1. Title of Derivate Security (Instr. 4)	Date Exercisable	Expiration Date	Title	Amount or Number of Shares	4. Conversion or Exercise Price of Derivative Security		6. Nature of Indirect Beneficial Ownership (Instr. 5)
Option to purchase Common Stock	3/3/2016	3/3/2025	Common Stock, $1.00 par value	3968	$74.49	D
Option to purchase Common Stock	3/3/2017	3/3/2025	Common Stock, $1.00 par value	3968	$74.49	D
Option to purchase Common Stock	3/3/2018	3/3/2025	Common Stock, $1.00 par value	3969	$74.49	D
2016 Performance Share Unit ⁽²⁾	3/1/2016	⁽³⁾	Common Stock, $1.00 par value	12611	$0.00	D
Option to purchase Common Stock	3/1/2017	3/1/2026	Common Stock, $1.00 par value	6252	$44.31	D
Option to purchase Common Stock	3/1/2018	3/1/2026	Common Stock, $1.00 par value	6252	$44.31	D
Option to purchase Common Stock	3/1/2019	3/1/2026	Common Stock, $1.00 par value	6252	$44.31	D
2017 Performance Share Unit ⁽⁴⁾	3/6/2017	⁽³⁾	Common Stock, $1.00 par value	14188	$0.00	D
Option to purchase Common Stock	3/6/2018	3/6/2027	Common Stock, $1.00 par value	5743	$51.03	D
Option to purchase Common Stock	3/6/2019	3/6/2027	Common Stock, $1.00 par value	5743	$51.03	D
Option to purchase Common Stock	3/6/2020	3/6/2027	Common Stock, $1.00 par value	5743	$51.03	D
2018 Performance Share Unit ⁽⁵⁾	3/6/2018	⁽³⁾	Common Stock, $1.00 par value	12573	$0.00	D
Option to purchase Common Stock	3/6/2019	3/6/2028	Common Stock, $1.00 par value	6087	$48.48	D
Option to purchase Common Stock	3/6/2020	3/6/2028	Common Stock, $1.00 par value	6087	$48.48	D
Option to purchase Common Stock	3/6/2021	3/6/2028	Common Stock, $1.00 par value	6088	$48.48	D

Explanation of Responses:
(1)	This amount includes 13,219 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.
(2)	Each 2016 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, 2018, as more particularly described in the applicable award agreement.
(3)	Not applicable
(4)	Each 2017 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.
(5)	Each 2018 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.

Reporting Owners
Reporting Owner Name / Address	Relationships
Reporting Owner Name / Address	Director	10% Owner	Officer	Other
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. Lynch		4/6/2018
^** Signature of Reporting Person		Date

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
*	If the form is filed by more than one reporting person, see Instruction 5(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).
Note:	File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.
Persons who respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB control number.