Exhibit 32.1

                          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 Epoch Holding Corporation
(the "Company") on Form 10-Q for the period ended December 31, 2004 as filed
with the Securities and Exchange Commission on the date hereof (the
"Report"), I, William W. Priest, Chief Executive Officer of the Company,
certify, pursuant to 18 U.S.C. SS 1350, as adopted pursuant to SS 906 of the
Sarbanes-Oxley Act of 2002, that:

     (1)  The Report fully complies with the requirements of Section 13(a) or
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 result of operations of the
Company.

Dated:  February 14, 2005                By:  /s/ William W. Priest
                                              _______________________
                                              William W. Priest
                                              Chief Executive Officer

This certification accompanies this Report on Form 10-Q pursuant to Section
906 of the Sarbanes-Oxley Act of 2002 and shall not, except to the extent
required by such Act, be deemed filed by the Company for purposes of Section
18 of the Securities Exchange Act of 1934, as amended.

A signed original of this written statement required by Section 906, or other
document authenticating, acknowledging, or otherwise adopting the signature
that appears in typed form with the electronic version of this written
statement required by Section 906, has been provided to the Company and will
be retained by the Company and furnished to the Securities and Exchange
Commission or its staff upon request.