It happened after 7:30 p.m. Tuesday in the Rhawnhurst section of the city.
Police say the driver of a gray Chrysler New Yorker cut off a police cruiser driven by a 2nd District officer in the 2200 block of Bleigh Avenue.
The police cruiser rear-ended the New Yorker, which then fled the scene.
Officers caught up with the driver in the 7400 block of Bustleton Avenue.
She was arrested for leaving the scene of an accident and suspicion of driving under the influence.
The officer was taken Aria Hospital, Torresdale Division to be treated for a minor head injury she sustained in the collision.
She is expected to make a full recovery.