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 March 31, 2005, as filed
with the Securities and Exchange Commission on the date hereof (the "Report"),
I, S. Douglas Hutcheson, 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.

                                               /s/ S. DOUGLAS HUTCHESON
                                          --------------------------------------
                                                   S. Douglas Hutcheson
                                          Chief Executive Officer and President

Date: June 15, 2005

     In connection with the Quarterly Report of Leap Wireless International,
Inc. (the "Company") on Form 10-Q for the period ended March 31, 2005, as filed
with the Securities and Exchange Commission on the date hereof (the "Report"),
I, Dean M. Luvisa, 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.

                                                  /s/ DEAN M. LUVISA
                                          --------------------------------------
                                                      Dean M. Luvisa
                                          Vice President, Finance, Treasurer and
                                              Acting Chief Financial Officer

Date: June 15, 2005