EXHIBIT 23






                                              CONSENT OF INDEPENDENT ACCOUNTANTS

We consent to the  incorporation by reference in the  Registration  Statement of
Unocal  Corporation  on Form S-8 (No.  33-65461)  of our report,  dated June 18,
1999, on our audits of the financial  statements and  supplemental  schedules of
the Molycorp,  Inc. 401(k)  Retirement  Savings Plan as of December 31, 1998 and
1997 and for the years then ended which report is included in this annual report
on Form 11-K.










PricewaterhouseCoopers LLP
Los Angeles, California
June 29, 1999