The collision happened at around 3.30pm on Sunday 8 June 2014, near the Bridge Inn on Low Wath Road.
The cyclist was travelling towards Pateley Bridge when he was overtaken by a Land Rover towing a trailer.
The Land Rover then had to pull back in front of the cyclist to avoid an oncoming vehicle.
The cyclist, a man from the Harrogate area, was hit by the trailer and fell off his cycle, sustaining minor injuries.
The driver of the Land Rover did not stop at the scene and continued travelling towards Pateley Bridge.
Police are appealing for the driver to contact the police along with anyone else who witnessed the collision.
Anyone who can assist the investigation is asked to contact North Yorkshire Police on 101, select option 2 and ask for Traffic Constable Mark Mullins at Harrogate Roads Policing Group. Or email firstname.lastname@example.org
Please quote reference 12140092732 when passing on information about this incident.