Edgar Filing: HESS CORP

Ownership Submission

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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(Print or Type Responses)

1. Name and Address of Reporting Person ^*

OCONNOR JOHN J

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

(Last)

(First)

(Middle)

HESS CORPORATION, 1185 AVENUE OF THE AMERICAS

3. Date of Earliest Transaction (Month/Day/Year)
06/16/2008

(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)
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	06/16/2008		M⁽¹⁾		84,000	A	$ 29.96	372,080	D
Common Stock, $1.00 par value	06/16/2008		S		83,400	D	$ 128	288,680	D
Common Stock, $1.00 par value	06/16/2008		S		500	D	$ 128.12	288,180	D
Common Stock, $1.00 par value	06/16/2008		S		100	D	$ 128.04	288,080 ⁽²⁾	D

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
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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

(A)

(D)

Date Exercisable

Expiration Date

Title

Amount or Number of Shares

Option to purchase Common Stock

$ 29.96 ⁽³⁾

06/16/2008

84,000 ⁽³⁾

02/02/2006

02/02/2015

Common Stock, $1.00 par value

84,000 ⁽³⁾

$ 0

Reporting Owners

Reporting Owner Name / Address	Relationships
Reporting Owner Name / Address	Director	10% Owner	Officer	Other
OCONNOR JOHN J HESS CORPORATION 1185 AVENUE OF THE AMERICAS NEW YORK, NY 10036	X		Executive Vice President

Signatures

George C. Barry for John J. O'Connor		06/17/2008
^**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)	Common Stock acquired upon exercise of options granted under the Corporation's Second Amended and Restated 1995 Long-Term Incentive Plan.
(2)	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.
(3)	Reflects antidilution adjustment which reduced exercise price to $29.96 and increased outstanding options by 56,000 additional shares as a result of a 3 for 1 stock split effected on May 31, 2006.

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