Exhibit 32.1


                            CERTIFICATION PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002


In  connection  with the  Annual  Report of  Titanium  Metals  Corporation  (the
"Company")  on Form 10-K for the period  ending  December 31, 2004 as filed with
the Securities and Exchange Commission on the date hereof (the "Annual Report"),
we, J. Landis  Martin,  Chairman  of the Board,  President  and Chief  Executive
Officer of the Company, and Bruce P. Inglis, Vice President - Finance, Corporate
Controller  and  Treasurer of the Company,  certify,  pursuant to 18 U.S.C.  ss.
1350, as adopted pursuant to ss. 906 of the Sarbanes-Oxley Act of 2002, that:

     1.   the Annual  Report fully  complies  with the  requirements  of section
          13(a) or 15(d) of the Securities Exchange Act of 1934; and

     2.   the information contained in the Annual Report fairly presents, in all
          material respects, the financial condition and result of operations of
          the Company




March 16, 2005


/s/ J. Landis Martin
- --------------------
J. Landis Martin
Chairman of the Board, President
   and Chief Executive Officer

/s/ Bruce P. Inglis
- -------------------
Bruce P. Inglis
Vice President - Finance, Corporate
   Controller and Treasurer




Note:The  certification  the registrant  furnishes in this exhibit is not deemed
     "filed" for purposes of Section 18 of the Securities  Exchange Act of 1934,
     as  amended,  or  otherwise  subject to the  liabilities  of that  Section.
     Registration  Statements or other  documents  filed with the Securities and
     Exchange Commission shall not incorporate this exhibit by reference, except
     as otherwise expressly stated in such filing.