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.
Go-Ahead Ireland to Create 400 Jobs Boosting Public Transport in Wicklow
Pat Devlin Calls Time After Four Decades With Bray Wanderers
Wicklow Musician Earns National Business Award For Merging Traditional Culture And Wedding Celebration
Wicklow CYPSC Launch Detailed Project Underlining Importance Of Sleep For Children
Visit Wicklow Digital Campaign Takes Home Prestigious IDI Award