A residential and commercial building in the city of Kaohsiung caught fire in the early hours of Thursday morning, the local fire department said.
It took firefighters more than four hours to extinguish the blaze.
The fire department told the BBC that 79 people had been taken to hospital, including 14 in a serious condition.
The cause of the fire is unclear and investigators are at the scene.
Officials earlier warned that people may have been trapped in the residential part of the building, between the seventh and 11th floors.