Calgary police said they found the body of 27-year-old Harsimrat Kahlon and three newborns inside the apartment.
However, the police was not sure if the kids belonged to her or the time of their deaths.
Police said Kahlon's death did not look suspicious, but they were treating the deaths of the three newborns as suspicious.
It was reported that the woman's death did not look suspicious but the new born deaths did not seem normal.
However, cause of the deaths would be known only after weeks of testing.
The age and sex of the newborns were not divulged.
The landlord reported that Kahlon lived there for about three years with a man.
However, it was not known if the man was her husband.