Prospectus Supplement filed under Rule 424(b)(3) Registration No. 333-07899 Prospectus Supplement The Prospectus dated August 13, 1996, relating to the offer for resale of up to $200,650,000 aggregate principal amount of the Continental Airlines, Inc. 6-3/4% Convertible Subordinated Notes due April 15, 2006 is hereby supplemented as follows: 1) "Bear Stearns & Co. Inc." is added to the table of Selling Holders on page 39 with a Principal Amount of Registered Notes owned as of April 4, 1997 of $500,000. The date of this Prospectus Supplement is April 4, 1997.