FDNY officials say the fire started just before 6 p.m. at 3030 Heath Ave. in the Kingsbridge section.
They say the fire, which reached four alarms around 6:40 p.m., was reported on the top floor of the four-story apartment building and extended to the cockloft area between the ceiling and the roof.
About 180 firefighters and EMS personnel responded to the scene and got the fire under control despite dealing with windy conditions.
"The main challenge this evening besides the amount of fire was the wind," said FDNY Chief of Operations Kevin Woods. "Whenever it's windy the fire travels with the wind and the wind had a major impact on this fire pushing the fire across that common cockloft and that cockloft extends or expands every apartment it's undivided in the roof space there."
FDNY officials said no civilians were injured, and one firefighter suffered minor injuries.
However, there was extensive damage to about six to eight apartments.
The American Red Cross has registered 17 households and 34 individuals, including four children, for emergency assistance, including temporary housing.
NYC Emergency Management says they are working with the Red Cross to set up a reception area for displaced residents.
The cause of the fire is under investigation.
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