The Boeing 737 jet took off shortly before 5 a.m. (10 p.m. EST) and quickly disappeared from radar about seven miles south of the airport, airport officials said, speaking on customary condition of anonymity.
The officials said 127 passengers and eight crew members were aboard the jet operated by the private Egyptian company Air Flash en route to Cairo, and most were French tourists.
Rescue teams rushed to the scene but found no immediate survivors.
An initial statement from the Ministry of Civil Aviation called the crash an "accident" and said crews were searching for the wreckage. It gave no ideas on the possible cause.