"We are carrying out search operations inside the premises to rule out the possibility of planting of explosives", State Director General of Police S P Vaid said.
Flights to and from Srinagar International Airport were initially suspended after the attack, but were resumed later on Tuesday.
The area also houses training centres of the BSF and the CRPF.
He also said that at least 6 to 7 terrorists who had infiltrated from Pakistan were on the prowl and the police were on a lookout for them.
"Two militants have been killed so far, one is still there". The operation could have been finished much earlier had we used aerial weapons.
Government Forces including BSF, 53 Rashtriya Rifles, CRPF and SOG of Jammu Kashmir Police cordoned off the building while a large number of security personnel engaged militants in fire fight.
"Militants are said to have sneaked inside the camp premises at around 3:45 a.m (local time) today", a police official said.
The base in which the gun battle took place shares a common compound wall with the airport. "Due to the lack of security in the funnel area of the airport the night landing of civilian flights couldn't be carried out", said officials. He said that six to seven Jaish militants were still at large.
Asked which group was responsible for the attack, Khan said, "Jaish-e-Mohammad was responsible for the attack".
Meanwhile, Home Minister Rajnath Singh complimented the security forces for successfully eliminating the terrorists involved in an attack.
All the three attackers were killed during the operation started soon after the attack.