UNITED STATES SECURITIES AND EXCHANGE COMMISSION WASHINGTON, D.C. 20549 FORM 4 STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP ( ) Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instructions 1(b). 1. Name and Address of Reporting Person Gibbons, John D. One Valero Place San Antonio, TX 78212 USA 2. Issuer Name and Ticker or Trading Symbol Valero Energy Corporation VLO 3. IRS or Social Security Number of Reporting Person (Voluntary) 4. Statement for Month/Year May 31, 2001 5. If Amendment, Date of Original (Month/Year) 6. Relationship of Reporting Person(s) to Issuer (Check all applicable) ( ) Director ( ) 10% Owner (X) Officer (give title below) ( ) Other (specify below) Executive Vice President and Chief Financial Officer 7. 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 |2. |3. |4.Securities Acquired (A) |5.Amount of |6.Dir |7.Nature of Indirect | | Transaction | or Disposed of (D) | Securities |ect | Beneficial Ownership | | | | | Beneficially |(D)or | | | | | | | A/| | Owned at |Indir | | | Date |Code|V| Amount | D | Price | End of Month |ect(I)| | ___________________________________________________________________________________________________________________________________| Common Stock, $.01 par valu|05/27/|F |V|821 |D |$46.645 |39,105 | | | e (tax withheld for restric|01 | | | | | | | | | ted stock vesting) | | | | | | | | | | -----------------------------------------------------------------------------------------------------------------------------------| | | | | | | |9,359.5039 |I |plans | -----------------------------------------------------------------------------------------------------------------------------------| ___________________________________________________________________________________________________________________________________| ___________________________________________________________________________________________________________________________________ Table II -- Derivative Securitites Acquired, Disposed of, or Beneficially Owned | ___________________________________________________________________________________________________________________________________| 1.Title of Derivative |2.Con- |3. |4. |5.Number of De |6.Date Exer|7.Title and Amount |8.Price|9.Number |10.|11.Nature of| Security |version |Transaction | rivative Secu |cisable and| of Underlying |of Deri|of Deriva |Dir|Indirect | |or Exer | | | rities Acqui |Expiration | Securities |vative |tive |ect|Beneficial | |cise | | | red(A) or Dis |Date(Month/| |Secu |Securities |(D)|Ownership | |Price of| | | posed of(D) |Day/Year) | |rity |Benefi |or | | |Deriva- | | | |Date |Expir| | |ficially |Ind| | |tive | | | | A/|Exer-|ation| Title and Number | |Owned at |ire| | |Secu- | | | | | D |cisa-|Date | of Shares | |End of |ct | | |rity |Date |Code|V| Amount | |ble | | | |Month |(I)| | ___________________________________________________________________________________________________________________________________| | | | | | | | | | | | | | | | ___________________________________________________________________________________________________________________________________| Explanation of Responses: SIGNATURE OF REPORTING PERSON J. Stephen Gilbert, as Attorney-in-Fact for John D. Gibbons DATE 06/04/01