The incident took place in Gajalmamudi area of Swabhiman Anchal during an exchange of fire between the Maoists and the Special Operations Group (SOG), said DGP Abhay.
The militants made an abortive bid during the night to infiltrate into the Indian side of the LoC in Machil sector in north Kashmir's Kupwara district.
Acting on specific information about the presence of militants in Rangreth near the old airfield here, the security forces launched a cordon and search operation in the area, a police official said.
Tripathi disclosed that home secretary level talks involving both the states will be held at Lailapur Beat Office on Wednesday morning to resolve the matter amicably.
Security forces launched a cordon-and-search operation in the Chakura area of Shopian district following information about the presence of militants there, a police officer said.