The incident occurred at around 11.40pm on Tuesday 4 February 2014, on Halfpenny Lane, when a Peugeot 306 collided with two parked cars.
As a result of the collision all three vehicles were badly damaged and it is believed the driver of the Peugeot may have suffered a serious head injury.
PC David Minto, of Harrogate Safer Neighbourhood Team, said: I am urging the driver of the Peugeot to get in touch with me as a matter of urgency, so that I can confirm they are safe and well.
I am also keen to speak to anyone who may have witnessed the collision or can help to locate the driver and ask that they get in touch straight away.
Anyone who can assist with this investigation should contact North Yorkshire Police on 101, select option 2 and ask for David Minto. Alternatively, information can be emailed to firstname.lastname@example.org