Fire officials say it started around 10 a.m. on the top floor of the Presidential, a six-story building on Kappock Street in Spuyten Duyvil.
Flames could be seen shooting out of the windows and smoke filling the air in video sent in from the scene.
Fire officials say the flames extended into the building's attic.
The FDNY says one firefighter suffered a minor injury.
It's unclear what sparked the fire.
18 Firefighters Hurt as 5-Alarm Fire Rips Through Staten Island Homes NBC New York
A multi-alarm fire tore through homes on Staten Island Monday afternoon.
More than 100 firefighters attacked the blaze that broke out at a home on Rensselaer Avenue near Foster Road and Marcy Avenue and quickly spread to adjoining row houses amid gusty conditions.
At 4 p.m. the fire was on five alarms. Chopper 4 was over the scene where smoke could be seen pouring from blackened rooftops as fire crews used multiple high-pressure hoses to douse the flames.
FDNY said 18 firefighters had minor injuries from the blaze. One civilian also suffered smoke inhalation.