Exhibit 32(b)



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


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

  1. The Company's Annual Report on Form 10-K for the year ended December
     31, 2003 (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 12th day of March, 2004.




                                        /s/ H. Dan Farell
                                   -------------------------------------
                                   Name:   H. Dan Farell
                                   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.