The cubs were born on June 4 and currently weigh about four kilos (nearly 9 pounds). They are reported to be in good health, with a big appetite that requires feeding every three hours.
The mother of the cubs had a difficult birth so these babies are being raised by zookeepers over fears the mother could reject her young.
Bengal tigers are native to Asia with the majority of the 2,500 wild animals left found in India, according to the World Wildlife Fund.
Conservation efforts by India have helped to stabilise the species but their numbers continue to decline due to poaching.