As per police officials, the injured have been shifted to a hospital for treatment.
While one out of the three injured is critical, the police said the other two are stable.
"The incident is of Thursday late evening when terrorists hurled a grenade at a police station in Kulgam. Three people were injured, including two policemen and one civilian. One of the policemen is critical and has been referred to a hospital in Srinagar. We are looking into the matter," said Kulgam Superintendent of Police (SP), Harmeet Singh.
Meanwhile, an encounter is underway between terrorists and the Indian army at Juma Gund in Kupwara district.
Intermittent firing is on and the Indian troops are retaliating strongly.
Further details are awaited. (ANI)