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:    9/3/08                     /s/ Bruce N. Alpert
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                                    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:    9/3/08                      /s/ Agnes Mullady
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                                     Agnes Mullady,
                                     Principal Financial Officer and Treasurer