Video from the scene shows a red pickup truck smashed into the back of the officer's patrol vehicle.
The crash happened around 4:45 a.m. on South Post Oak near Allum.
HPD said a man in a pickup truck failed to stop and slammed into the back of the patrol car.
Police said the officer and the driver of the pickup were taken to a hospital, but were not seriously hurt.
Investigators were testing the pickup driver for possible DWI.