N-CSR Item 12(b) - Exhibits:  Certifications

                            SECTION 906 CERTIFICATION

Pursuant to 18  U.S.C.ss.  1350,  the  undersigned  officers of  Federated  U.S.
Government  Bond Fund (the  "Registrant"),  hereby  certify,  to the best of our
knowledge,  that the  Registrant's  Report on Form  N-CSR for the  period  ended
August 31, 2004 (the "Report")  fully complies with the  requirements of Section
13(a) or 15(d),  as  applicable,  of the Securities and Exchange Act of 1934 and
that the information  contained in the Report fairly  presents,  in all material
respects, the financial condition and results of operations of the Registrant.


Dated:  October 25, 2004

/s/ J. Christopher Donahue

Title: President, Principal Executive Officer



Dated:  October 25, 2004

/s/ Richard J. Thomas

Title: Treasurer, Principal Financial Officer

This  certification is being furnished solely pursuant to 18 U.S.C.ss.  1350 and
is not being filed as part of the Report or as a separate disclosure document.