A Greater Manchester Police spokesman said:
At approximately 10.45pm last night two GMP officers had stopped another car.
When they got out to speak to the occupants it was driven into them.
The vehicle then left the scene.
One of the officers has some broken bones and the other has a fractured skull.
They are in a stable condition in hospital.
More top news
Police investigating the alleged kidnapping of a British model in Italy have arrested the brother of the chief suspect in the West Midlands
Wet and windy weather travels eastwards through this evening and overnight.
Think you know who played 007 first? Who is the most bankable Bond? And what links Ian Fleming to Bob Marley and an under pressure PM?