The crash involving the cyclist and a grey Mitsubishi Outlander happened at 2pm last Wednesday outside Rose Villa in Hull Road, Osgodby.
A North Yorkshire Police spokesman today said: "As a result of the collision, the pedal cyclist fell from his bike and sustained severe facial injuries and the loss of several teeth.
"Police are appealing for anyone who witnessed the collision, or anyone who saw the Mitsubishi or cycle prior to the collision, to get in touch."
Anyone with information can email email [email protected] or call 101, press 2 and ask to speak to TC 1113 Dean Turner.
Please quote reference number 12190005106.