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, 2005 as filed with
the Securities and Exchange Commission on the date hereof (the "Annual Report"),
we, Harold C. Simmons,  Chairman of the Board and Chief Executive Officer of the
Company,  and Bruce P. Inglis, Vice President - Finance and Corporate Controller
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.




January 4, 2006


/s/ Harold C. Simmons
- ---------------------
Harold C. Simmons
Chairman of the Board and Chief Executive Officer


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




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.