Zoo director Sisir Kumar Acharya said the tigress, named Sneha, gave birth to first cub at 6.56 am followed by two others at 8.48 am and 10.06 am.
With the birth of these cubs, the number of tigers at the zoo increased to 24.
Sneha was earlier blessed with four cubs after mating with a Royal Bengal Tiger in 2014, the zoo sources said.