Five-year-old Sumatran tigress Melati gave birth to the as-yet unsexed triplets after a 106-day pregnancy.
The birth raises hope for the global breeding programme, as wild Sumatran tiger numbers are estimated to be as low as 300 individuals.
Each newborn arrived within an hour of the other, with the first cub arriving at 12:28am, the second at 12:59am, and the last delivered at 1:18am.
The photos show proud mum Melati looking after her babies in special clubbing dens - aww!
The father, six-year-old Jae Jae, remains in the main tiger enclosure away from the cubs.
"We couldn't be more delighted with our new arrivals, and with how Melati is responding to her three cubs," said zoo keeper Teague Stubbington. "We've even been able to observe key milestones like their eyes opening and their tentative first steps."
Teague explained that the keepers have also given the triplets nicknames!
"We've nicknamed one Trouble, as it's much bolder than the others," he said. "It was the first to start exploring its den and we've spotted it waking up its siblings when they fall asleep!"
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Copyright: Rex Features Richard Waters/Solent News