According to the official, two attackers were killed and a third was detained. "The fighting is over but unfortunately we have five deaths and 10 wounded".
"The attack is against an army unit providing security for the academy and not the academy itself", Mr Waziri said.
As per the reports one soldier was killed and 10 others were injured after a group of attackers stormed the Marshal Fahim Military University in Kabul on Monday morning.
An officer inside the training academy said he heard an explosion followed by an exchange of gunfire.
Saturday's blast in one of the most heavily protected parts of the city, close to foreign embassies and government buildings, was the worst seen in the Afghan capital since a truck bomb near the German embassy killed 150 people in May.
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The Afghan security forces have cordoned off the whole area as the attack is still ongoing.
In October 2017, 15 military cadets were killed in an explosion outside the Marshal Fahim Military Academy.
There has been no immediate claim of responsibility.
After the gunbattle ended, the security forces resumed control of the area.
On January 20, gunmen attacked the famous Intercontinental Hotel in Kabul, killing at least 25 people, with most of the fatalities consisting of foreigners.
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The government has blamed Saturday's lunchtime attack, which was followed by a national day of mourning in the war- tired country, on the Taliban-affiliated Haqqani Network, which Afghan and Western officials suspect of involvement in at least some of the recent attacks in the capital.
A suicide bomber first attacked the army unit responsible for providing security for the military academy, and a gun battle then ensued in which two soldiers were killed, said Dawlat Waziri, spokesman for the Afghan defence ministry.
Earlier, resident Mohammad Ehsan said he heard a series of explosions coming from the area beginning at around 5am and lasting for at least an hour.
Further details about the number of attackers and possible victims were unclear.
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