Residents were told by the property management company to use blankets.
The fire department was at the complex around 3 in the morning.
Detroit Fire Department Deputy Commissioner Dave Fornell confirmed a 26-year-old woman and a 2-year-old girl were taken to the hospital with smoke inhalation. The injuries are non-life-threatening.
The fire was contained to two units on the 2nd floor.
The fire is under investigation.