North Yorkshire Police say it happened between 4pm and 4.30pm on Saturday, December 28 on Sheriff Hutton Road in Strensall.
A police spokesman said: “Two vehicles collided on the humpback bridge which caused both vehicles to sustain damage. One of the drivers left the scene without leaving details.
“We’re appealing for any witnesses to the collision or anyone with relevant dashcam footage to contact us.
“Please email peter.henderson@northyorkshire.police.uk if you can help. Alternatively, you can call North Yorkshire Police on 101 and ask for Peter Henderson.”
Please quote reference 12250003144 when passing on information.
