CERTIFICATION PURSUANT TO 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:    09/03/03                  /s/ Bruce N. Alpert
       --------------            ----------------------------------------------
                                   Bruce N. Alpert, Principal Executive Officer



I, Gus A. Coutsouros, Principal Financial 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:    09/03/03                 /s/ Gus A. Coutsouros
       --------------            ----------------------------------------------
                                  Gus A. Coutsouros, Principal Financial Officer