"I will use the words 'the missing plane' until we find the debris or be certain about what happened,"Egypt's Civil Aviation Minister Sherif Fathi said in a press conference.
"We don't deny the possibility of a terror attack or a technical error," he said.
EgyptAir Flight 804 from Paris to Cairo disappeared from radar with 66 people on board, the airline said.
"We must ensure that we know everything on the causes of what happened. No hypothesis is ruled out or favoured," he said in a televised address.
"Whether it was an accident or another hypothesis that everyone has on their mind -- a terrorist hypothesis... At this stage we must focus on our solidarity with the families and the search for the causes of the catastrophe," Hollande said.
Paris prosecutor's office said its accident department had opened an investigation into the incident.
Greece's Defence Minister Panos Kammenos said the plane fell 22,000 feet and swerved sharply in Egyptian airspace before it disappeared from radar screens.
"It appears the plane is lost. There are no clear results (from the search) so far," he said.
However, Greek Aviation officials said earlier that air traffic controllers had spoken to the pilot a few minutes earlier and everything had appeared normal.
The plane was carrying 56 passengers -- including three children -- seven crew members and three security personnel.
Apart from 30 Egyptians, the plane was carrying 15 French passengers, two Iraqis and one each from Britain, Belgium, Kuwait, Saudi Arabia, Sudan, Chad, Portugal, Algeria and Canada.
The plane is believed to have been lost some 130 nautical miles from the island of Karpathos, between Crete and Rhodes.
The plane lost contact with radar after it entered Egyptian airspace, around 280 kilometres off the country's coastline north of the Mediterranean port city of Alexandria.
The aviation officials later said the plane crashed and that a search for debris was now underway.
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