According to officials, the incident took place just before 2:00 p.m. in the area of Division Street near Sheffield Avenue in the Newhallville neighborhood of the city.
Arriving officers found a vehicle crashed into a bus stop shelter and found the gunshot victim, a 32-year-old New Haven resident, at a nearby home.
Authorities said the victim is believed to have operated the crashed car.
He suffered a gunshot wound to the shoulder and is in critical condition at a local hospital.
No other injuries have been reported.
Witnesses are asked to call New Haven police at 203-946-6304.