Exhibit 32

                                CERTIFICATIONS OF
               CHIEF EXECUTIVE OFFICER AND CHIEF FINANCIAL OFFICER
                       PURSUANT TO 18 U.S.C. SECTION 1350,
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

      In connection with the Quarterly Report of Leap Wireless International,
Inc. (the "Company") on Form 10-Q for the period ended September 30, 2004, as
filed with the Securities and Exchange Commission on the date hereof (the
"Report"), I, William M. Freeman, Chief Executive Officer of the Company,
certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906
of the Sarbanes-Oxley Act of 2002, that to my knowledge:

              1. The Report fully complies with the requirements of Section
13(a) or 15(d) of the Securities Exchange Act of 1934; and

              2. That information contained in the Report fairly presents, in
all material respects, the financial condition and results of operations of the
Company.

Date:    November 22, 2004             /s/ William M. Freeman
                                      -----------------------
                                         William M. Freeman
                                      Chief Executive Officer



      In connection with the Quarterly Report of Leap Wireless International,
Inc. (the "Company") on Form 10-Q for the period ended September 30, 2004, as
filed with the Securities and Exchange Commission on the date hereof (the
"Report"), I, S. Douglas Hutcheson, Chief Financial Officer of the Company,
certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906
of the Sarbanes-Oxley Act of 2002, that to my knowledge:

              1. The Report fully complies with the requirements of Section
13(a) or 15(d) of the Securities Exchange Act of 1934; and

              2. That information contained in the Report fairly presents, in
all material respects, the financial condition and results of operations of the
Company.

Date:   November 22, 2004             /s/ S. Douglas Hutcheson
                                      ------------------------
                                        S. Douglas Hutcheson
                                      Chief Financial Officer