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
Jamie Oliver turned down the offer of playing a hobbit in the movie adaptation of the book by JRR Tolkien, the TV chef has revealed.
Children are being put at risk as 11% of posts for permanent children's social workers remain unfilled, experts have warned.
A Network Rail boss who presided over the Christmas trains chaos will not receive a bonus of more than £300,000 when he leaves in February