Rahimi earlier said that the attackers entered a building under construction near a training center of the National Directorate of Security, Afghanistan's main intelligence agency.
Nasrat Rahim, a deputy interior ministry spokesman, said the sound of large and small arms fire could be heard from the fighting.
During the attack, roads to the area were closed and dozens of police and intelligence officers blocked access to the public. "It [the attack] happened suddenly... the police arrived in the area fast and blocked the roads, not allowing anyone to get to their homes", Naweed, a student, told AFP. "Two ISIS attackers raid the Afghan intelligence center in Kabul", the terrorist group's Amaq news agency reported.
No group has claimed responsibility yet for the attack, but the Taliban insurgent group routinely claims responsibility for such attacks. Insider and imposter attacks are a near mainstay for Afghan and USA troops in the fight against the Taliban and ISIS.
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Security in Kabul has been ramped up since May 31 when a massive truck bomb ripped through the city's diplomatic quarter, killing about 150 and wounding around 400 people, mostly civilians.
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.
Police later killed the fighters. "The auto was exploded by the special forces", said Mohammad Sadiq Muradi, deputy head of security affairs at the Kabul Police Headquarters.