The fire started in the laundry of the second level apartment and has been deemed accidental.
The initial damage bill has been estimated at $30,000.
Neighbours rang emergency triple zero (000) after hearing a smoke alarm next door.
One male was assessed on scene by ACT Ambulance Service intensive care paramedics but did not require transport to hospital.
ACT Fire & Rescue would like to remind the community to ensure they have working smoke alarms.