At around 7.35pm on Tuesday 24 November 2020, officers attended the scene of the collision on the A26 Hadlow Road near its junction with Cuckoo Lane.
The motorist had left the scene prior to the arrival of patrols and the cyclist was taken to a local hospital for treatment to a serious hip injury.
Investigating officer, PC Thomas Farley said: ‘We have been making enquiries to identify the driver of the car which is thought to have been a small, silver vehicle.
‘I would urge the motorist to contact us at their earliest opportunity and am appealing to anybody with dashcam, who may have been in the area at the time, to check for footage that might be able to assist the investigation.’
Anybody with information should call Kent Police on 01622 604100, quoting reference 24-1216.
You can also call the independent charity Crimestoppers anonymously on 0800 555111 or complete the online form.