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                                                                    EXHIBIT 23.1

                       CONSENT OF INDEPENDENT ACCOUNTANTS


         We consent to the incorporation by reference in Registration
Statements on Form S-8 (File No.'s 333-20403 and 333-21001) of Titanium Metals
Corporation of our reports dated January 21, 1997, on our audits of the
consolidated financial statements and financial statement schedules of Titanium
Metals Corporation as of December 31, 1995 and 1996, and for each of the three
years in the period ended December 31, 1996, which reports are included in this
Annual Report on Form 10-K.


                                        COOPERS & LYBRAND L.L.P.



Denver, Colorado
March 28, 1997