1
 
                                                                    EXHIBIT 23.4
 
                       CONSENT OF INDEPENDENT ACCOUNTANTS
 
     We hereby consent to the incorporation by reference in the prospectus
constituting part of this Registration Statement on Form S-4 of Chevron
Corporation of our report dated February 20, 1998, appearing on page FS-14 of
Chevron Corporation's Annual Report on Form 10-K for the year ended December 31,
1997. We also consent to the reference to us under the heading "Experts" in such
proxy statement/prospectus.
 
PricewaterhouseCoopers LLP
San Francisco, California
February 11, 1999