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                                                                    EXHIBIT 23.1
 
                        CONSENT OF DELOITTE & TOUCHE LLP
 
     We consent to the incorporation by reference in this Registration Statement
of Loral Space & Communications Ltd. (a Bermuda company) on Form S-3 of our
reports with respect to the consolidated financial statements of Loral Space &
Communications Ltd., Space Systems/Loral, Inc. and Globalstar L.P. and the
financial statement schedule of Loral Space & Communications Ltd. appearing in
or incorporated by reference in the Annual Report on Form 10-K of Loral Space &
Communications Ltd. for the year ended December 31, 1997 and to the reference to
us under the heading "Experts" in the Prospectus, which is part of this
Registration Statement.
 
DELOITTE & TOUCHE LLP
New York, New York
April 27, 1998