World Bulletin / News Desk
Three of the victims were Turks, Turkey's consul general in Strasbourg, Ozgur Cinar told Anadolu Agency.
Another eight people were injured, the local fire department said, adding three of them were in serious condition.
Firefighters managed to rescue another 12 occupants of the four-storey building in the northern Bourtzwiller district via the windows of their apartments, the department added.
The cause of the fire that broke out shortly before midnight is yet unknown.
There are conflicting reports in the local media, with some suggesting the blaze started in a stairwell, with others saying it began in the basement.