SECTION 906 CERTIFICATION

Pursuant to 18 U.S.C.ss. 1350, the undersigned officers of Federated Premier
Intermediate Municipal Income Fund (the "Registrant"), hereby certify, to the
best of our knowledge, that the Registrant's Report on Form N-CSR for the
period ended May 31, 2005 (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: July 15, 2005

/s/ J. Christopher Donahue
J. Christopher Donahue, President, Principal Executive Officer



Dated: July 15, 2005

/s/ Richard J. Thomas
Richard J. Thomas, 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.