Police were called to a report of a collision involving a Ford Fiesta car and a pedestrian in Columbus Ravine, Scarborough, at about 11.20pm on Sunday 27 November.
The pedestrian, a man in his twenties from Scarborough, was taken to Hull Royal Infirmary with serious injuries.
The driver, a man in his twenties from the Scarborough area, was arrested on suspicion of dangerous driving in connection with the incident. He remains in custody at this time.
Anyone who witnessed the collision is asked to contact North Yorkshire Police on 101, quoting reference 12160214707.