The car in question was stolen from a home in Gorey late yesterday evening.
Gardaí later located it parked in the Willow Park area of the town in the early hours of this morning.
They approached the car on foot, however, the driver drove away and a garda was carried for a distance before falling.
He was taken to Wexford General Hospital for treatment of injuries to his shoulder and arm.
The stolen car was located again a short time later and two men - one aged in his late teens and another in his early 20s - were arrested.
They're currently being held at Gorey Garda Station.
Gardaí say the injured garda is receiving support from his colleagues and a counselling service is also being offered to him and his colleagues.