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 *
Fox Matthew J
   2. Issuer Name and Ticker or Trading Symbol
CONOCOPHILLIPS [COP] 		5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
_____ Director _____ 10% Owner
__X__ Officer (give title below) _____ Other (specify below)
Executive Vice President
(Last)
(First)
(Middle)
600 NORTH DAIRY ASHFORD		 3. Date of Earliest Transaction (Month/Day/Year)
05/04/2012
(Street)

HOUSTON, TX 77079		 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

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 V (A) (D) Date Exercisable Expiration Date Title Amount or Number of Shares
Employee Stock Option (Right to Buy) $ 71.87 05/04/2012   J(1)     50,800   (2) 02/09/2022 Common Stock 50,800 $ 0 0 D  
Employee Stock Option (Right to Buy) $ 54.8 05/04/2012   J(1)   65,348     (2) 02/09/2022 Common Stock 65,348 $ 0 65,348 D  
Phatom Stock (4) 05/04/2012   J(3)     60,311   (5)   (5) Common Stock 60,311 $ 0 0 D  
Phantom Stock (4) 05/04/2012   J(3)   79,102     (5)   (5) Common Stock 79,102 $ 0 79,102 D  

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
Fox Matthew J
600 NORTH DAIRY ASHFORD
HOUSTON, TX 77079		       Executive Vice President  

Signatures

 Nathan P. Murphy, by Power of Attorney filed herewith   05/08/2012
**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) In connection with the spin-off of Phillips 66 on April 30, 2012 by ConocoPhillips, outstanding ConocoPhillips stock options that are not vested and are held by ConocoPhillips officers or employees, who continued as officers or employees of ConocoPhillips immediately after the spin-off, were replaced with adjusted ConocoPhillips stock options to purchase ConocoPhillips common stock, which will generally preserve the intrinsic value of each original stock option grant and the ratio of the exercise price to the fair market value of ConocoPhillips common stock on the distribution date.
(2) Vest in three equal annual installments beginning February 9, 2013.
(3) In connection with the spin-off of Phillips 66 on April 30, 2012 by ConocoPhillips, restricted stock units that are not vested and are held by ConocoPhillips officers or employees, who continued as officers or employees of ConocoPhillips immediately after the spin-off, were replaced with adjusted ConocoPhillips restricted stock units, which will generally preserve the intrinsic value of each restricted stock unit grant to the fair market value of ConocoPhillips common stock on the distribution date.
(4) The stock units convert to ConocoPhillips common stock on a 1-for-1 basis.
(5) The restrictions on the stock units lapse in two equal installments on the fourth and fifth anniversary of the grant date.

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