EXHIBIT 32(B)
                                                                   -------------

                    CERTIFICATION OF CHIEF FINANCIAL OFFICER
            PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002


I, R. Scott Turicchi, Chief Financial Officer of the Company, certify, pursuant
to 18 U.S.C. ss. 1350, as adopted pursuant to ss. 906 of the Sarbanes-Oxley Act
of 2002, that:

1.   The accompanying quarterly report on Form 10-Q for the quarter ended March
     31, 2004 (the "Report") fully complies with the requirements of Section
     13(a) or 15(d), as applicable, of the Securities and 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 j2 Global
     Communications, Inc.





                                                /s/ R. SCOTT TURICCHI
                                                -------------------------------
                                                R. Scott Turicchi
                                                Chief Financial Officer
                                                (Principal Financial Officer)

Dated: May 10, 2004



A SIGNED ORIGINAL OF THIS WRITTEN STATEMENT REQUIRED BY SECTION 906 OF THE
SARBANES-OXLEY ACT HAS BEEN PROVIDED TO J2 GLOBAL COMMUNICATIONS, INC. AND WILL
BE RETAINED BY J2 GLOBAL COMMUNICATIONS, INC. AND FURNISHED TO THE SECURITIES
AND EXCHANGE COMMISSION OR ITS STAFF UPON REQUEST.