Greater Manchester Police (GMP) were called to an address in Holker Close, Longsight, just before 2pm on Friday following reports that a body had been found.
Emergency services attended the scene and an investigation has been launched into the circumstances surrounding her death.
Detective Chief Inspector Stuart Wilkinson from GMP’s Major Incident Team said: "First and foremost our thoughts remain with the woman’s family, who are understandably devastated following the discovery yesterday.
"Detectives are carrying out a thorough investigation, and are following up a number of lines of inquiry to piece together exactly what has happened, and bring whoever is responsible to justice.”
Detective Wilkinson said the investigation is "in its early stages” and inquiries are ongoing as an increase in officers remain in the area.
"Anyone concerned in the local area can stop and speak to our officers,” he said.
"We’re also asking anyone with information to come forward - even the smallest bit may help with our investigation."
Anyone with information about the incident can contact police through LiveChat online at gmp.police.uk or call 0161 856 6908 quoting incident number 1599 of 11/06/21.
It comes as a body of a man found in neighbouring street is being treated as “unexplained”.
At 8pm on Friday, officers were called to an address on Plymouth Grove to reports of a body.
Emergency services attended and discovered the body of a man in his 60s.
A GMP spokesperson said the man’s death is being treated "as unexplained at this time”, as officers remain in the area and inquiries continue.
Additional reporting by PA Media