The incident happened around 10.40pm on Saturday, (September 26) on Motherwell Road, near Palace Grounds Road.
A green Fiat 500 was involved in a collision with a cyclist who was riding a black mountain bike.
The car stopped and emergency services were called. The 17-year-old male cyclist is currently in a critical condition within the Queen Elizabeth University Hospital, Glasgow.
Sergeant Craig McDonald, of Road Policing, said: “We’re appealing to anyone who might’ve witnessed this incident or noticed the cyclist or green Fiat 500 shortly before the incident happened.
“I’d also ask drivers who were in that area around 10.40pm on Saturday to check their dashcam footage.”
Anyone with any information should contact Police Scotland on 101 quoting incident number 4491 of 26 September 2020.