EXHIBIT 32.1

                            CERTIFICATION 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 Loral Orion, Inc. (the "Company")
on Form 10-Q for the period ending March 31, 2004 as filed with the Securities
and Exchange Commission on the date hereof (the "Report"), I, Bernard L.
Schwartz, 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 Report fully complies with the requirements of section 13(a) or
15(d) of the Securities Exchange Act of 1934; and

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

                                                     /s/ BERNARD L. SCHWARTZ
                                                     -----------------------
                                                        Bernard L. Schwartz
                                                      CHIEF EXECUTIVE OFFICER

May 10, 2004


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