The alleged knifeman died a short time later after driving a car into the side of a pub.
Greater Manchester Police are not looking for anybody else in connection with the attacks.
Police called to a house in Moston at 10.20pm last night found the body of a 41-year-old man who had been stabbed.
The 13-year-old girl suffered serious knife injuries was taken to hospital where she is in a critical condition.
Just before 1am today, police were called to Watfield Walk in Harpurhey after a man threatened a car owner with a knife and stole a vehicle.