"There are three attackers involved. the clearance operation is ongoing", said the spokesman, adding there was no immediate word on casualties.
Gunmen stormed a partially constructed intelligence agency training facility in Kabul on Monday, officials said, triggering intense fighting with police in the latest ISIS-claimed attack to hit the Afghan capital.
The Afshar area of Kabul where the attack occurred is close to a training facility of the National Directorate of Security, the main Afghan intelligence agency, as well as a private university.
Eyewitnesses said the attackers were equipped with heavy and light weapons.
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"Two IS [Daesh] attackers raid the Afghan intelligence centre in Kabul", the terrorist group's propaganda arm, Amaq reported. The Western-backed government there has been struggling to fend off militants since the withdrawal of most North Atlantic Treaty Organisation troops in 2014.
No U.S. or North Atlantic Treaty Organisation advisers were involved in the attack or the security response to it, said U.S. Navy Capt. Tom Gresback, a spokesman for the coalition mission to train, advise and assist Afghan government forces.
On Sunday, a Taliban attack on a police post in the western Badghis province killed a police officer and wounded three others, said Gulam Haydar Sarwari, the province's deputy police chief. Fifteen militants reportedly died in the fighting. The group's local affiliate, known as Islamic State-Khorasan province, or ISIS-K, sprang up in eastern Afghanistan in early 2015 and has carried out multiple high-profile attacks in the Afghan capital this year. At least nine people were killed and more than 50 injured in the blast in the southwestern city of Quetta.