Constable Dalbir Singh was shot at by unidentified militants from a very close range at Rajpora chowk in Pulwama town, 35 kms from here, police said.
Singh was referred to a hospital here in a critical condition, where he succumbed to injuries.
An operation has been launched to track down the assailants who fled the scene taking advantage of panic, police said.
No militant outfit has claimed responsibility for the attack so far.