The incident took place in Gooriwan where the police team was on routine law and order duty for the procession marking the birthday of Prophet Mohammad, police said.
Sub Divisional Police Officer of Bijebehara Irshad Ahmad and a constable were injured in the firing, they said, adding both were shifted to a hospital here.
Later, a person introducing himself as spokesman for Hizbul Mujahideen militant outfit called up media houses to claim responsibility for the attack on the police party.