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 26,
1998, on our audits of the financial statements and supplemental schedules of
the Unocal Savings Plan as of December 31, 1997 and 1996 and for the years then
ended which report is included in this annual report on Form 11-K.



COOPERS & LYBRAND L. L. P.
Los Angeles, California
June 26, 1998