MoI spokesman Najib Danish said the attack was likely carried out by three militants using two vehicles loaded with several rockets.
Danish further added that two security personnel have been slightly wounded during the clashes with the militants.
He said the rockets fired by the militants have landed in the 1st, 2nd, 10th, and 16th police districts of the city.
In the meantime, the residents of the 1st police district of the city and eyewitnesses are saying that sporadic gunshots are still heard from the area close to Eidgah mosque.
No individual or group has so far claimed responsibility behind the attack.
The rocket attack was launched at around 9am today as President Mohammad Ashraf Ghani was delivering a speech on the occasion of Eid Al-Adha.