Exhibit 32.1

                        CERTIFICATION OF PERIODIC REPORT
                         Pursuant to 18 U.S.C. ss. 1350

         Pursuant  to,  and for  purposes  only of,  18  U.S.C.  ss.  1350,  the
undersigned  hereby  certifies  that (i) the  Quarterly  Report of First  United
Corporation  on Form 10-Q for the  quarter  ended  June 30,  2004 filed with the
Securities  and Exchange  Commission  (the  "Report")  fully  complies  with the
requirements  of Section 13(a) or 15(d) of the Securities  Exchange Act of 1934,
and (ii) information  contained in the Report fairly  presents,  in all material
respects,  the  financial  condition  and results of  operations of First United
Corporation.


Date:    August 4, 2004              /s/ William B. Grant
                                     ----------------------------------------
                                     William B. Grant, Chairman of the Board
                                     and Chief Executive Officer