The second car believed to be involved in the incident was also been found.
Sgt. Joyce Kemp of Quebec provincial police told CBC News that a 21-year-old man turned himself in to police Sunday around 6:30 p.m. ET.
He is expected to appear in court this afternoon.
The man's arrest comes comes after an incident in which two cars hit a 33-year-old man early on Saturday morning. The drivers of both cars failed to stop to help the victim.
It happened around 3:15 a.m. ET Saturday on Des Seigneurs Street East.
The man was transported to hospital where he was listed in critical condition with a broken pelvis, broken leg, punctured lung and fractured skull, according to his family.
A snowplow operator who witnessed the incident called 911.
Police recovered a gold-coloured Hyundai Accent yesterday they suspect is connected to the incident. They also seized a second car that was found in the nearby town of La Présentation.