Exhibit 31.1


                            CERTIFICATION PURSUANT TO
                  SECTION 302 OF THE SARBANES-OXLEY ACT OF 2002


I, J.  Landis  Martin,  Chairman  of the Board,  President  and Chief  Executive
Officer of Titanium Metals Corporation, certify that:

     1.   I have reviewed this September 30, 2004 quarterly  report on Form 10-Q
          of Titanium Metals Corporation;

     2.   Based on my  knowledge,  this  report  does  not  contain  any  untrue
          statement  of a  material  fact  or  omit to  state  a  material  fact
          necessary to make the statements  made, in light of the  circumstances
          under which such  statements were made, not misleading with respect to
          the period covered by this report;

     3.   Based on my knowledge,  the financial statements,  and other financial
          information  included in this report,  fairly  present in all material
          respects the financial condition, results of operations and cash flows
          of the  registrant  as of,  and for,  the  periods  presented  in this
          quarterly report;

     4.   The registrant's  other  certifying  officer and I are responsible for
          establishing  and maintaining  disclosure  controls and procedures (as
          defined  in  Exchange  Act  Rules  13a-15(e)  and  15d-15(e))  for the
          registrant and we have:

          a.   designed such disclosure controls and procedures,  or caused such
               disclosure  controls  and  procedures  to be  designed  under our
               supervision,  to ensure that material information relating to the
               registrant,  including  its  consolidated  subsidiaries,  is made
               known to us by others within those entities,  particularly during
               the period in which this report is being prepared;

          b.   evaluated  the  effectiveness  of  the  registrant's   disclosure
               controls  and   procedures  and  presented  in  this  report  our
               conclusions  about the  effectiveness of the disclosure  controls
               and  procedures,  as of the  end of the  period  covered  by this
               report based on such evaluation; and

          c.   disclosed in this report any change in the registrant's  internal
               control  over  financial   reporting  that  occurred  during  the
               registrant's most recent fiscal quarter (the registrant's  fourth
               fiscal  quarter in case of an annual  report) that has materially
               affected,  or is  reasonably  likely to  materially  affect,  the
               registrant's internal control over financial reporting; and

                                        1

<PAGE>


     5.   The registrant's other certifying officer and I have disclosed,  based
          on our most recent  evaluation  of  internal  control  over  financial
          reporting,  to the  registrant's  auditors and the audit  committee of
          registrant's  board of directors (or persons performing the equivalent
          functions):

          a.   all  significant  deficiencies  and  material  weaknesses  in the
               design or operation of internal control over financial  reporting
               which are reasonably  likely to adversely affect the registrant's
               ability  to  record,  process,  summarize  and  report  financial
               information; and

          b.   any fraud,  whether or not material,  that involves management or
               other employees who have a significant  role in the  registrant's
               internal control over financial reporting.




Date: November 5, 2004


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

                                        2