Officers said a mother in her 30s was crossing the road while pushing her 10-month-old infant in an stroller, when a car turned the corner and collided with the pair.
Both victims were rushed to hospital, but police say their lives are not in danger.
Montreal police Const. Danny Richer said the car involved was a grey Mazda 3, and the driver was a woman.
Police are asking for anyone with information to call Info-Crime at 514-393-1133.