Officials say they're the first snow leopards to be born at the zoo.
The twin cubs weigh almost 14 kilograms and were born to mother Zoe and father Askai. The cubs will eventually weigh between 29 and 54 kilograms.
The male and female cubs have not yet been named.
A snow leopard was born at the Bronx Zoo earlier this year.
Snow leopards are among the world's most endangered large cats. They live in remote mountains of Central Asia and parts of China, Mongolia, Russia, India and Bhutan.