The agency said it provided emergency housing to eight people, including one child. The remaining number of displaced residents decided to stay with friends or family.
The Red Cross said 56 apartments in total were affected by fire, smoke and water damage, as well as utilities being shut off.
The fire started at the Maple Crest Garden Apartment complex at 467 Baldwin Path in Deer Park yesterday, around noon.
Deer Park fire officials said it took about 75 firefighters just under an hour to get the fire out.
One firefighter was hospitalized, though every resident was able to get out safely.
The cause of the fire is still under investigation.