Band was on his way to Srinagar at around 11.00 pm when a mob attacked his vehicle with stones at Prechu in Pulwama, 26 km from here.
The driver lost control of the vehicle, which resulted in the car turning turtle, a police official said. He said the MLA was injured in the incident. He has been admitted to Army's base hospital for treatment.
The personal security guard and the driver of the MLA suffered minor injuries.
Kashmir has been rocked by violence following the killing of Hizbul Mujahideen commander Burhan Wani on July 8. 39 people have been killed and over 3,160 injured in clashes between security personnel and protesters who have attacked police stations, vehicles, pickets and army camps.
Spearatists in the state have called for an extended curfew on the 11th consecutive day.