Chicks are most vulnerable between the point of hatching, and when they reach "fighting weight" of about 1kg.
The eggs are large enough that predators have trouble fitting their mouths around them, and once kiwi are large enough they are better equipped to fight off predators, but the time in between is when they are most in danger.
Capital Kiwi's five-year plan is made possible by the co-operation of private landowners, Ward said.
"The thing that is really inspiring and lets us know that we can do this is that it's been down elsewhere in the country."
In Whakatane, where a similar project has been rolled out, a population of fewer than 10 kiwi has shot up to more than 300, he said.
"That was just through control and the community getting on board as kaitiaki of those birds.
"It's a highly ambitious project but it's also achievable. We're at the start line now and we just have to go out there and catch a heap of stoats."
The project covers 23,000ha of public and private land in the lower North Island.
The first trap is being set this morning at a formal launch ceremony at Terawhiti Station.