EXHIBIT 32

     Certification Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002

Pursuant to 18 U.S.C. ss. 1350, we the undersigned Chief Executive Officer and
Chief Financial Officer, respectively of Hector Communications Corporation (the
"Company") hereby certify:

(1) That the accompanying Annual Report of the Company on Form 10-K for the
period 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;
and

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

Date:  March 29, 2004                         /s/ Curtis A. Sampson
                                              --------------------------------
                                              Curtis A. Sampson
                                              Chief Executive Officer


Date:  March 29, 2004                        /s/ Charles A. Braun
                                             ---------------------------------
                                             Charles A. Braun
                                             Chief Financial Officer