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 September 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:    November 5, 2004           /s/ William B. Grant
                                    ----------------------------------------
                                    William B. Grant, Chairman of the Board
                                    and Chief Executive Officer