Named Okahu by kaitiaki hapu, Te Runanga o Makaawhio, the chick is healthy and doing well.
The egg was recovered from the Haast Kiwi Sanctuary in late August, and was incubated at the Wildlife Centre for 39 days.
The chick took six days to hatch and emerged weighing 323g.
"It is wonderful to be able to support the recovery of the Haast tokoeka with a facility so close to their natural range," the Wildlife Centre's owner, Richard Benton, said.
The West Coast Wildlife Centre opened in November 2010 and is a public-private partnership with the Department of Conservation.
The centre plays a key role in BNZ Operation Nest Egg by providing specialist husbandry care to help save from extinction New Zealand's most endangered kiwi, the rowi and Haast tokoeka.
The Haast tokoeka is a rare subspecies of kiwi, related to the Stewart Island and Fiordland tokoeka. Over half the population is found within the Haast Kiwi Sanctuary, an area of 11,400ha between the Waiatoto and Arawhata Rivers, in South Westland.
While the adult tokoeka (southern brown kiwi) can defend themselves from attack quite ably, their chicks are easy prey for introduced predators, especially stoats.
Despite extensive stoat trapping over the whole sanctuary, tokoeka numbers have not increased and they remain critically endangered. There were fewer than 300 left in 2007.
In 2007, each of the 87 monitored tokoeka within the Haast Kiwi Sanctuary became part of BNZ Operation Nest Egg, and numbers have begun to increase.
Tokoeka eggs are being recovered from the wild and incubated at the West Coast Wildlife Centre in Franz Josef.
Chicks will be released to creche islands in Lakes Te Anau and Manapouri, or to Orokonui Ecosanctuary, in Dunedin.
Once chicks are big enough to defend themselves against stoat attack, they will be released into the Haast sanctuary.