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
Sunshine in short supply
Samples from 95 buildings in 32 local authority areas have failed fire safety tests - 100% of the cladding samples submitted.
But which member of the royal family spends the most?