Exhibit 32(b)



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


     The undersigned,  Kirk R. Oliver,  Executive Vice President and Chief
Financial  Officer of TXU Corp. (the "Company"), DOES HEREBY CERTIFY that:

  1. The Company's Quarterly Report on Form 10-Q for the period ended June 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 6th day of August, 2004.




                                                /s/ Kirk R. Oliver
                                           -----------------------------------
                                           Name:   Kirk R. Oliver
                                           Title:  Executive Vice President
                                                   and Chief Financial Officer








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.