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

                          SECTION 906 CERTIFICATION

Pursuant to 18 U.S.C.ss. 1350, the undersigned officers of Federated Government
Income Securities, Inc. (the "Registrant"), hereby certify, to the best of
our knowledge, that the Registrant's Report on Form N-CSR for the period
ended February 28, 2006 (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: April 21, 2006

/s/ J. Christopher Donahue
Name:  J. Christopher Donahue
Title: President, Principal Executive Officer



Dated: April 24, 2006

/s/ Richard A. Novak
Name:  Richard A. Novak
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.