Exhibit 32(a)



                                    TXU CORP.
                       Certificate Pursuant to Section 906
                         of Sarbanes - Oxley Act of 2002
                              CERTIFICATION OF CEO




         The undersigned, C. John Wilder, President and Chief Executive of
TXU Corp. (the "Company"), DOES HEREBY CERTIFY that:

  1.     The Company's Quarterly Report on Form 10-Q for the period ended
         September 30, 2004 (the "Report") fully complies with the requirements
         of section 13(a) or 15(d) of the Securities Exchange Act of 1934, as
         amended; and

  2.     Information contained in the Report fairly presents, in all material
         respects, the financial condition and results of operation of the
         Company.

         IN WITNESS WHEREOF, the undersigned has caused this instrument to be
executed this 5th day of November, 2004.




                                      /s/ C. John Wilder
                                ----------------------------------------------
                                Name:     C. John Wilder
                                Title:    President and Chief Executive







A signed original of this written statement required by Section 906 has been
provided to TXU Corp. and will be retained by TXU Corp. and furnished to the
Securities and Exchange Commission or its staff upon request.