Police say the accident happened near the Dollar General Store in Groundhog Plaza along Hampton Avenue.
Around 3:50 p.m., a dark blue four-door sedan backed out of a parking stall and struck a female walking behind the vehicle.
Police say the driver fled the area without checking on the condition of the pedestrian.
The vehicle is described as a dark blue four-door sedan with a rear spoiler. A dancing flower in a flower pot was on the front dash of the vehicle.
The operator is described as being a middle-aged female with dark hair in a pony tail. She was wearing glasses and dressed in scrubs.
Anyone with information is asked to contact the Punxsutawney Police Department at (814) 938-6220.