The incident happened between 5.15pm and 5.30pm on Tuesday, December 1, on Douglas Road, Dundee, near to the Ballindean Road roundabout.
The vehicle involved was a white flat-bed van or pick-up type vehicle.
The driver did not stop after the collision and continued down Douglas Road towards the Scott Fyfe roundabout.
The 19-year-old man who was struck by the vehicle suffered serious facial injuries as a result.
Police have asked anyone with any information that could help them to come forward.
They have said that they would like to particularly hear from anyone with a dashcam who was driving in the Douglas/Longtown Road, Mid Craigie area around that time who may have footage of the vehicle involved.
If you have any information you should call 101 and quote incident number 2684 of December 1.