Officers attempted to stop a car reported to have been stolen from an address in Creswell.
After ramming into the police car the occupants exited the vehicle but both were arrested at the scene.
The collision happened at about 2.45am yesterday (Thursday December 20) in Shrewsbury Road, Manton.
Two police officers injured during the incident were taken to hospital as a precaution.
They were not seriously injured and were subsequently discharged.
Two men, both aged 30, were arrested on suspicion of attempted grievous bodily harm, theft of a motor vehicle and dangerous driving.
Anyone who witnessed the incident or any drivers who may have recorded dashcam footage are urged to call Nottinghamshire Police on 101, quoting incident number 46 of 20 December 2018.