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:    03/07/08           /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:    03/07/08           /s/ Agnes Mullady
     --------------         ----------------------------------------------------
                            Agnes Mullady, Principal Financial Officer
                            and Treasurer