Ownership Submission
FORM 3
 UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

INITIAL STATEMENT OF 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 *
  John V Simon
 2. Date of Event Requiring Statement (Month/Day/Year)
05/02/2007		 3. Issuer Name and Ticker or Trading Symbol
HESS CORP [HES]
(Last)
(First)
(Middle)
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
 5. If Amendment, Date Original Filed(Month/Day/Year)
(Street)

NEW YORK, NY 10036		 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 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 39,500
D (1)
 
Common Stock, $1.00 par value 0
I (2)
Savings Plan

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly. SEC 1473 (7-02)
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Table II - Derivative Securities Beneficially Owned (e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivative Security
(Instr. 4)		 2. Date Exercisable and Expiration Date
(Month/Day/Year)		 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)
Date Exercisable Expiration Date Title Amount or Number of Shares
Option to purchase Common Stock 01/05/1999 01/05/2008 Common Stock, $1.00 par value 13,500 $ 17.67 D  
Option to purchase Common Stock 02/03/2000 02/03/2009 Common Stock, $1.00 par value 15,000 $ 16.4 D  
Option to purchase Common Stock 12/01/2000 12/01/2009 Common Stock, $1.00 par value 22,500 $ 19.38 D  
Option to purchase Common Stock 12/06/2001 12/06/2010 Common Stock, $1.00 par value 12,000 $ 20.08 D  
Option to purchase Common Stock 11/07/2002 11/07/2011 Common Stock, $1.00 par value 30,000 $ 19.43 D  
Option to purchase Common Stock 06/02/2005 06/02/2014 Common Stock, $1.00 par value 7,500 $ 24.14 D  
Option to purchase Common Stock 06/02/2006 06/02/2014 Common Stock, $1.00 par value 7,500 $ 24.14 D  
Option to purchase Common Stock 06/02/2007 06/02/2014 Common Stock, $1.00 par value 7,500 $ 24.14 D  
Option to purchase Common Stock 02/02/2006 02/02/2015 Common Stock, $1.00 par value 6,000 $ 29.96 D  
Option to purchase Common Stock 02/02/2007 02/02/2015 Common Stock, $1.00 par value 6,000 $ 29.96 D  
Option to purchase Common Stock 02/02/2008 02/02/2015 Common Stock, $1.00 par value 6,000 $ 29.96 D  
Option to purchase Common Stock 02/01/2007 02/01/2016 Common Stock, $1.00 par value 6,000 $ 49.55 D  
Option to purchase Common Stock 02/01/2008 02/01/2016 Common Stock, $1.00 par value 6,000 $ 49.55 D  
Option to purchase Common Stock 02/01/2009 02/01/2016 Common Stock, $1.00 par value 6,000 $ 49.55 D  
Option to purchase Common Stock 02/07/2008 02/07/2017 Common Stock, $1.00 par value 5,000 $ 53.2 D  
Option to purchase Common Stock 02/07/2009 02/07/2017 Common Stock, $1.00 par value 5,000 $ 53.2 D  
Option to purchase Common Stock 02/07/2010 02/07/2017 Common Stock, $1.00 par value 5,000 $ 53.2 D  

Reporting Owners

Reporting Owner Name / Address Relationships
Director 10% Owner Officer Other
John V Simon
1185 AVENUE OF THE AMERICAS
NEW YORK, NY 10036		       Senior Vice President  

Signatures

George C. Barry for John V. Simon 05/03/2007
**Signature of Reporting Person Date

Explanation of Responses:

* 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).
(1) Shares of restricted stock held in escrow under the Second Amended and Restated 1995 Long-Term Incentive Plan. The reporting person has only voting power of these shares until the 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.
(2) Shares held in Hess Corporation Savings and Stock Ownership Plan as of December 31, 2006.

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