Excited visitors gathered to meet the triplets, who were born at the zoo on August 5, 2011.
The zoo has a tradition of giving its tigers floral names.
Local media reported that the cubs have been named Kaktus, Jasmin and Narciss (Cactus, Jasmine and Narcissus).
Their parents Iris and Kedr (Iris and Cedar) have already had seven cubs.
Siberian tigers are one of the world's rarest species. An estimated 300 are left in the wild, mostly in Russia's Far East.