they first had to get the tiger into a cage, authorities said.
Zoo employees contained the tiger in a cage as EMTs rushed to the scene and treated the man, officials said.
The victim was taken to Jacobi Hospital in critical condition.
Earlier this month, Amur tiger triplets debuted at the Bronx Zoo, born to mother Katharina and father Sasha.
Zoo animal maulings, while rare, have occurred before, and with deadly consequences.
A man was killed and two others injured on Christmas Day, 2007 at the San Francisco Zoo, when a 300-pound tiger named Tatiana escaped its cage.
In 1985, a zookeeper, Robin Silverman, 24, was killed when she was attacked by two Siberian tigers at the Bronx Zoo while trying to clean their cage.
An 11-year-old boy was killed in 1987 by a polar bear at the Prospect ParkZooafter climbing into its enclosure when the zoo was closed.
Updated at 5:40 p.m. ET: By Jonathan Dienst and Shimon Prokupecz, NBCNewYork.com