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: 9/1/10      /s/ Bruce N. Alpert   Bruce N. Alpert, Principal Executive Officer

I, Joseph H. Egan, 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: 9/1/10      /s/ Joseph H. Egan   Joseph H. Egan, Principal Financial Officer