<PAGE>

                                                        For SEC Filing Purposes:
                                                      Filed under Rule 424(b)(3)
                                         Registration Nos. 33-38505; 33-38505-01
 
               PRICING SUPPLEMENT FOR MEDIUM-TERM NOTES, SERIES B
 
                               (Fixed Rate Only)
 
Supplement No. 33                              Dated April 13, 1994
 
 (To Prospectus dated February 1, 1994 and Prospectus Supplement dated February
                                   18, 1994)
 
                                 [UNOCAL LOGO]
 
                                  $367,800,000
 
                        Union Oil Company of California
                          Medium-Term Notes, Series B
       Payment of Principal, Interest and Premium, if any, Guaranteed by
                               Unocal Corporation
              Due from Nine Months to 30 Years from Date of Issue
              Interest Payable each February 15 and August 15, on
                   any Redemption Date and at Stated Maturity
 
                               ----------------
 
<TABLE> 
<S>                                       <C> 
Form:                                     Interest Rate:  6.33%
                                        
  [X] Book-Entry                        
  [_] Certificated                      
                                        
Trade Date:  April 13, 1994               Principal Amount: $50,000,000
                                        
Original Issuance Date: April 20, 1994    Stated Maturity: February 28, 1997
                                        
Issue Price: 100.00%                      Earliest Redemption Date: February 28, 1997
</TABLE> 



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