Const. Daniel Lacoursière said police were called to the apartment building on des Oblats street near the corner of Bergevin street after neighbours reported hearing what sounded like a fight.
"When they got on the scene, police officers discovered the body of a woman and a man in the apartment. Both were shot."
Lacoursère said the woman was declared dead on the scene and the man was taken to hospital where he was declared dead.
Police said the victims have not yet been identified and the circumstances surrounding the deaths are not clear.
No arrests have been made.