As the cordon around the hiding militants was tightened, they fired at the security forces, triggering a gunbattle in which one IAF Garud soldier was killed, while five terrorists were also neutralised, he said.
He said one of the militant named "Owaid is son of Zakir Rehman Makki and nephew of Zakir Rehman Lakhvi".
The Garud Commando Force is the special forces unit of the IAF.
The gunfight erupted at village Hajin in Bandipora, about 32 km north of Srinagar city, the summer capital of Indian-controlled Kashmir.
The development is a big boost for the security forces in the Valley. Total of 6 LeT terrorists eliminated. Thereafter, Ikhwan suffered reverses and most of its cadres were selectively killed by terrorists.
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Two army soldiers were killed and a CRPF jawan suffered injuries in an encounter in Pulwama district of the state on 2 November.
"The encounter is now finished and was a success", the region's police chief Shesh Paul Vaid said.
Earlier in the day, large number of people defied curfew-like restrictions, imposed by the authorities, to attend the funeral of slain militant Mugees Ahmad Mir.
"Five militants have been killed in the operation", Kalia told AFP. LeT however blamed security forces for his killing. Owaid is the third man from the Lakhvi family to be killed in Kashmir. His younger brother Umair was among the six LeT terrorist who were killed in the adjoining hamlet today.
On January 10, 2017, another terrorist was killed in yet another encounter in the same village.