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
Tony Davies was the first civilian to reach Pc Palmer after he was stabbed during the Westminster attack.
Defiant Londoners put on a show of solidarity for the victims of the Westminster terror attack at a vigil in their honour.
Weather set to improve with plenty of sunshine by Saturday