<DOCUMENT>
<TYPE>EX-32.1
<SEQUENCE>9
<FILENAME>exhibit32-1_12576.txt
<DESCRIPTION>SECTION 906 CERTIFICATION OF C.E.O AND C.F.O.
<TEXT>
                                                                    EXHIBIT 32.1
                                                                    ------------




                    CERTIFICATION OF CHIEF EXECUTIVE OFFICER


Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 (18 U.S.C. ss. 1350)

Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 (18 U.S.C. ss. 1350),
the undersigned, Corey M. Horowitz, Chief Executive Officer and Chairman of
Network-1 Security Solutions, Inc., a Delaware corporation (the "Company"), does
hereby certify to his knowledge, that:

The Annual Report of Form 10-KSB for the year ended December 31, 2003 of the
Company (the "Report") fully complies with the requirements of Section 13(a) or
15(d) of the Securities Act of 1934, and the information contained in the Report
fairly presents, in all material respects, the financial condition and results
of operations of the Company.




                                            /s/ Corey M. Horowitz
                                            ------------------------------------
                                            Chief Executive Officer and Chairman
                                            April 13, 2004

<PAGE>


                    CERTIFICATION OF CHIEF FINANCIAL OFFICER


Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 (18 U.S.C. ss. 1350)

Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 (18 U.S.C. ss. 1350),
the undersigned, David C. Kahn, Chief Financial Officer of Network-1 Security
Solutions, Inc., a Delaware corporation (the "Company"), does hereby certify to
his knowledge, that:

The Annual Report of Form 10-KSB for the year ended December 31, 2003 of the
Company (the "Report") fully complies with the requirements of Section 13(a) or
15(d) of the Securities Act of 1934, and the information contained in the Report
fairly presents, in all material respects, the financial condition and results
of operations of the Company.

                                            s/David C. Kahn
                                            ------------------------------------
                                            Chief Financial Officer
                                            April 13, 2004

</TEXT>
</DOCUMENT>
