SEC FORM 4

SEC Form 4

FORM 4

UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP

Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934
or Section 30(h) of the Investment Company Act of 1940

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

1. Name and Address of Reporting Person^*

OCONNOR JOHN J

(Last)

(First)

(Middle)

HESS CORPORATION

1185 AVENUE OF THE AMERICAS

(Street)

NEW YORK

10036

(City)

(State)

(Zip)

2. Issuer Name and Ticker or Trading Symbol
HESS CORP [ HES ]

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

X	Director	10% Owner
X	Officer (give title below)	Other (specify below)
	Executive Vice President

3. Date of Earliest Transaction (Month/Day/Year)
06/25/2008

4. If Amendment, Date of 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

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)
1. Title of Security (Instr. 3)	2. Transaction Date (Month/Day/Year)	2A. Deemed Execution Date, if any (Month/Day/Year)	Code	V	Amount	(A) or (D)	Price		6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4)	7. Nature of Indirect Beneficial Ownership (Instr. 4)
Common Stock, $1.00 par value	06/25/2008		S		300	D	$125.33	302,503	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.34	302,403	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.255	302,303	D
Common Stock, $1.00 par value	06/25/2008		S		200	D	$125.295	302,103	D
Common Stock, $1.00 par value	06/25/2008		S		600	D	$125.275	301,503	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.27	301,403	D
Common Stock, $1.00 par value	06/25/2008		S		163	D	$125.285	301,240	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.36	301,140	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.345	301,040	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.315	300,940	D
Common Stock, $1.00 par value	06/25/2008		S		64	D	$125.24	300,876	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.215	300,776	D
Common Stock, $1.00 par value	06/25/2008		S		500	D	$125.218	300,276	D
Common Stock, $1.00 par value	06/25/2008		S		400	D	$125.182	299,876	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.174	299,776	D
Common Stock, $1.00 par value	06/25/2008		S		200	D	$125.195	299,576	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.235	299,476	D
Common Stock, $1.00 par value	06/25/2008		S		536	D	$125.26	298,940	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.275	298,840	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.225	298,740	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.235	298,640	D
Common Stock, $1.00 par value	06/25/2008		S		400	D	$125.14	298,240	D
Common Stock, $1.00 par value	06/25/2008		S		500	D	$125.075	297,740	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.125	297,640	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.175	297,540	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.135	297,440	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.225	297,340	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.29	297,240	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.305	297,140	D
Common Stock, $1.00 par value	06/25/2008		S		100	D	$125.23	297,040⁽¹⁾	D

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 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: Direct (D) or Indirect (I) (Instr. 4)	11. Nature of Indirect Beneficial Ownership (Instr. 4)
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)	Code	V	(A)	(D)	Date Exercisable	Expiration Date	Title	Amount or Number of Shares	8. Price of Derivative Security (Instr. 5)		10. Ownership Form: Direct (D) or Indirect (I) (Instr. 4)	11. Nature of Indirect Beneficial Ownership (Instr. 4)

Explanation of Responses:

1. This amount includes 242,000 shares held in escrow pursuant to the Corporation's Second Amended and Restated 1995 Long-Term Incentive Plan. The reporting person has only voting power of these shares until lapsing of the period set by the Committee administering the Plan at which time the shares plus accrued dividends will be delivered to the reporting person if he is still an employee of the Corporation.

Remarks:

	George C. Barry for John J. O'Connor	06/26/2008
	** 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 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).
Note: File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.
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