The incident occurred on Leyburn Road, near to the entrance to Catterick Golf Club, at 8.05pm on Saturday 1 February 2014.
A black Seat Leon car left the road and collided with a tree. Both occupants tragically died as a result of the collision.
The driver, a 23-year-old man, was pronounced dead at the scene and the passenger, a 20-year-old woman, was taken by ambulance to Darlington Memorial Hospital where she later died.
Both are serving army personnel based locally. Relatives have been informed but we are not in a position to identify them at this time.
The road remained closed until 1.50am on Sunday while the scene was investigated by the police and the vehicle recovered.
Witnesses to the collision or anyone who possibly recalled seeing the black Seat Leon car prior to the incident, are urged to contact North Yorkshire Police on 101, select option 1, and speak to the Force Control Room. Please quote reference number 12140017360.