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

                                    Form 8-K

                                 Current Report

     Pursuant to Section 13 of 15(d) of the Securities Exchange Act of 1934

         Date of Report (Date of earliest event reported): June 23, 1999


                               Chevron Corporation
              ----------------------------------------------------
             (Exact name of registrant as specified in its charter)

         Delaware                    1-368-2                   94-0890210
  ---------------------------   ----------------------     -------------------
 (State or other jurisdiction  (Commission File Number)   (I.R.S. Employer No.)
        of incorporation )

      575 Market Street, San Francisco, CA                     94105
     --------------------------------------                   --------
    (Address of principal executive offices)                 (Zip Code)

       Registrant's telephone number, including area code: (415) 894-7700


                                      NONE
          (Former name or former address, if changed since last report)

Item 5. Other Events.

     On June 23, 1999,  Chevron  Corporation  issued a press release announcing
     its intent to petition the U.S.  Supreme Court to hear the Cities Service
     case as a result of the Oklahoma  Supreme Court's decision not to
     reconsider its previous ruling.



Item 7. Financial Statements and Exhibits.

     (c)   Exhibits.

     99.1 Press  Release of Chevron  Corporation  dated June 23, 1999,  entitled
          "CHEVRON TO PETITION U.S. SUPREME COURT TO HEAR CITIES SERVICE CASE."



SIGNATURE Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its behalf by the undersigned hereunto duly authorized. Dated: June 24, 1999 CHEVRON CORPORATION By /s/ S.J. Crowe ------------------------------ S. J. Crowe, Comptroller (Principal Accounting Officer and Duly Authorized Officer)


                                                                   Exhibit 99.1



FOR IMMEDIATE RELEASE


                     CHEVRON TO PETITION U.S. SUPREME COURT
                           TO HEAR CITIES SERVICE CASE

         SAN FRANCISCO,  June 23 -- Chevron Corp.  today announced its intent to
petition the U.S.  Supreme Court to hear the Cities  Service case as a result of
the Oklahoma Supreme Court's  decision  yesterday not to reconsider its previous
ruling. The state Supreme Court, on March 2, upheld a trial court's damage award
of $742 million in a breach of contract action.
     "Chevron is disappointed with the Oklahoma Supreme Court's  decision," said
Chevron  Chairman  Ken Derr.  "We feel there were  numerous  errors in the trial
proceedings and believe the U.S.  Supreme Court,  after reviewing the case, will
reverse."
      The case  dates  back to 1982  when  Cities  Service  Co.,  a Tulsa oil
company, filed suit against Gulf Oil Corp. after Gulf terminated an agreement to
merge  with  Cities,  which  was  trying  to avoid a  hostile  takeover  by Mesa
Petroleum.  Cities Service was subsequently  acquired by Occidental Petroleum in
1982 and Gulf was acquired by Chevron in 1984.

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6/23/99
Contact:  Dawn Soper - (415) 894-4447