Exhibit 32.1


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


In connection  with the Quarterly  Report of Titanium  Metals  Corporation  (the
"Company") on Form 10-Q for the period  ending  September 30, 2004 as filed with
the  Securities  and  Exchange  Commission  on the date hereof  (the  "Quarterly
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 Treasure 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 Quarterly  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 Quarterly Report fairly presents, in
          all  material  respects,   the  financial   condition  and  result  of
          operations of the Company




November 5, 2004


/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.