Tuatara were transferred to the island in 1998. Eggs were found there in 2007 and later hatched at Victoria University.
The photograph, taken this month, is the first confirmation that they've hatched on the island itself.
DoC biodiversity programme manager Brent Tandy says the young tuatara was spotted and photographed by a family walking around the island.
He says it's long been thought the reptiles were breeding on the island, so it is exciting to finally have the hatching verified.