Exhibit 32(b)


                                   CERTIFICATION PURSUANT TO
                                    18 U.S.C. SECTION 1350,
                                    AS ADOPTED PURSUANT TO
                         SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002


         In connection with the Quarterly Report of Dillard's, Inc. (the "Company") on
    Form 10-Q for the period ended October 30, 2004 as filed with the Securities and
    Exchange Commission on the date hereof (the "Report"), I, James I. Freeman, Senior
    Vice President and Chief Financial Officer of the Company, certify, pursuant to 18 U.S.C.
    section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002,
    that:

       (1) The Report fully complies with the requirements of Section 13(a) and 15(d) of
           the Securities Exchange Act of 1934; and

       (2) The information contained in the Report fairly presents, in all material
           respects, the financial condition and results of operations of the Company.


Dated: December 8, 2004


                                                 /s/ James I. Freeman 
                                                James I. Freeman
                                                Senior Vice President and
                                                Chief Financial Officer