Exhibit 32.1
                    CERTIFICATION OF CHIEF EXECUTIVE OFFICER
                       PURSUANT TO 18 U.S.C. SECTION 1350

         In connection with the Form 10-Q of Eagle Bancorp, Inc. for the quarter
ended June 30, 2005, I, Ronald D. Paul, President and Chief Executive Officer of
Eagle Bancorp, Inc., hereby certify pursuant to 18 U.S.C. ss.1350, as adopted
pursuant to ss.906 of the Sarbanes-Oxley Act of 2002, to the best of my
knowledge and belief, that:

(1) such Form 10-Q 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 such Form 10-Q fairly presents, in all material
respects, the financial condition and results of operations of Eagle Bancorp,
Inc.


 /s/ Ronald D. Paul
- -------------------------------------
Ronald D. Paul
President and Chief Executive Officer