The attacks have effectively shutting down the Western airlift of Afghans desperate to flee.
There was no complete death toll, but video images uploaded by Afghan journalists showed dozens of bodies of people killed in tightly packed crowds outside the airport.
A watery ditch by the airport fence was filled with bloodsoaked corpses, some being fished out and laid in heaps on the canal side while wailing civilians searched for loved ones. The Pentagon said "a number" of American service members were killed. Sources said at least 11 marines and a Navy medic were dead.