The incident happened on Chapelfields Road in Acomb at around 9.30pm on Saturday (14 October 2023).
The 15-year-old boy was reportedly struck by an unknown vehicle which did not stop at the scene.
Enquiries are ongoing to trace the driver and the vehicle.
The boy is receiving treatment for a fractured wrist and suspected broken leg.
If you witnessed the incident, have relevant dash-cam footage or you can help identify the driver of the vehicle, please email davey.mitchell@northyorkshire.police.uk or call 101, select option 2, and ask for Davey Mitchell.
Alternatively, contact Crimestoppers anonymously on 0800 555111.
Please quote reference number 12230196343 when providing details.
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