The cub is the first son of an orphaned snow leopard from Pakistan. Leo was brought to the zoo after his mother and siblings were killed in Pakistan in 2005.
The New York Times says Leo was paired with Maya, a proven breeder, and the cub was born in April.
The baby is not yet named and went on view last week.
Snow leopards are among the world's most endangered large cats, considered at high risk for extinction. An estimated 3,500 to 7,000 remain in the wild, and their population continues to decline.
It has bred more than 70 since then.
The zoo currently has 10 snow leopards.