EXHIBIT 23


            CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM



We hereby consent to the incorporation by reference in the Registration
Statement on Form S-8 (No. 333-93225) of Unocal Corporation of our report, dated
June 18, 2004, relating to the financial statements of the Unocal Savings Plan,
which appears in this Form 11-K.



/s/PricewaterhouseCoopers LLP

PricewaterhouseCoopers LLP
Los Angeles, California
June 28, 2004