Some of the attackers at the Marshal Fahim Military Academy have been killed, an Afghan security source said, adding the gunmen had not managed to enter the academy.
Kabul police spokesman Basir Mujahid told AFP there had been rocket and gunfire but now "it is calm".
Witnesses told AFP they heard several explosions and gunfire at around 5:00 am (0030 GMT) at the academy on the outskirts of Kabul where high-ranking military officers are trained.
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There was no immediate claim of responsibility for the raid, which comes days after a Taliban suicide attacker driving an explosives-packed ambulance blew up in a crowded area of the city, killing and wounding hundreds.(This story has not been edited by NDTV staff and is auto-generated from a syndicated feed.)