The Providence Fire Department responded to Bissell Street around 10:15 p.m. for a report of a small mattress fire on the second floor.
Upon arrival, crews said the sprinkler system in the apartment helped to take down much of the fire.
Deputy Chief Mahoney said two units out of about twelve are inhabitable due to water damage.
One man was transported to an area hospital with non-life threatening injuries.
Crews stayed on scene until about 12 a.m. investigating.