"There has to be a credible inquiry into the circumstances which led to the firing after the alleged molestation of a girl by an army personnel," the party said in a statement and demanded that those responsible for it be arrested forthwith.
It said security forces opening fire on unarmed protesters was a "common practice in Kashmir and must be stopped immediately".
Kashmir, particularly Handwara town in Kupwara district, is tense over the last four days in the wake of the death of three youth and a woman in firing by security personnel during a violent protest against alleged molestation of the girl student by an army man on April 12.