EXHIBIT 23






                       CONSENT OF INDEPENDENT ACCOUNTANTS

We  hereby  consent  to the  incorporation  by  reference  in  the  Registration
Statement on Form S-8 (No. 33-43309) of Unocal Corporation of our report,  dated
June 9, 2000, relating to the financial statements of the Molycorp,  Inc. 401(k)
Retirement Savings Plan, which appears in this Form 11-K.










PricewaterhouseCoopers LLP
Los Angeles, California
June 28, 2000