CERTIFICATION PURSUANT TO RULE 30A-2(B) UNDER THE 1940 ACT AND SECTION 906 OF
                             THE SARBANES-OXLEY ACT

I,  Donald F.  Crumrine,  Director,  Chairman  of the Board and Chief  Executive
Officer  of  Flaherty  &  Crumrine/Claymore  Preferred  Securities  Income  Fund
Incorporated (the "Registrant"), certify that:

     1.  The Form N-CSR of the Registrant (the "Report") fully complies with the
         requirements  of Section 13(a) or 15(d) of the Securities  Exchange Act
         of 1934, as amended; and

     2.  The  information  contained  in  the  Report  fairly  presents,  in all
         material respects, the financial condition and results of operations of
         the Registrant.


Date:    JULY 17, 2006                       /S/ DONALD F. CRUMRINE
     ------------------------       --------------------------------------------
                                    Donald F. Crumrine, Director, Chairman of
                                    the Board and Chief Executive Officer
                                    (principal executive officer)


I, R. Eric Chadwick,  Chief Financial  Officer,  Treasurer and Vice President of
Flaherty & Crumrine/Claymore  Preferred Securities Income Fund Incorporated (the
"Registrant"), certify that:

     1.  The Form N-CSR of the Registrant (the "Report") fully complies with the
         requirements  of Section 13(a) or 15(d) of the Securities  Exchange Act
         of 1934, as amended; and

     2.  The  information  contained  in  the  Report  fairly  presents,  in all
         material respects, the financial condition and results of operations of
         the Registrant.


Date:    JULY 17, 2006                       /S/ R. ERIC CHADWICK
     ------------------------       --------------------------------------------
                                    R. Eric Chadwick, Chief Financial Officer,
                                    Treasurer and Vice President
                                    (principal financial officer)