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

I, Bruce N. Alpert,  Principal  Executive  Officer of  The  Gabelli  Convertible
and Income Securities Fund Inc. (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:    August 31, 2007           /s/ Bruce N. Alpert
     ----------------------      ----------------------------------------------
                                   Bruce N. Alpert, Principal Executive Officer



I, Agnes Mullady,  Principal  Financial  Officer  and Treasurer  of  The Gabelli
Convertible and Income Securities Fund Inc. (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:    August 31, 2007              /s/ Agnes Mullady
     ----------------------         -------------------------------------------
                                      Agnes Mullady,
                                      Principal Financial Officer and Treasurer