After the United States, New Zealand has also been taking in interned refugees from Australian overseas camps for years.
According to the agreement between the governments, up to 150 people will be resettled in New Zealand every year for the next three years.
This gives up to 450 of them a chance to leave the detention centers.
According to the agreement, refugees from the camp in the Pacific island nation of Nauru and those who were temporarily brought to Australian territory, mostly for medical treatment, are eligible.
According to Amnesty International, there are currently 112 refugees in Nauru and 1,168 in mainland Australia.
Till Fähnders
Political correspondent for Southeast Asia.
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The government in Wellington first made the offer to take in some of the refugees around nine years ago.
Canberra had previously turned down this so as not to create incentives for refugees to come to Australia.
In addition, it should be prevented that the refugees finally find their way back to Australia via New Zealand.
Australia's policy of deterrence targets asylum seekers crossing the sea into Australia by boat.
You will be barred for life from being able to seek asylum in Australia.
According to the agreement, they will also not have access to permanent residency in Australia even if they acquire New Zealand citizenship after relocation.
Hundreds of refugees had spent years in camps on Nauru and Manus Island in Papua New Guinea after several failed resettlement attempts.
In particular, human rights organizations condemned the conditions in the camp in Papua New Guinea, where violence, abuse, mental illness and attempted suicide had occurred.
Finally, Papua New Guinea's highest court ruled that it was unconstitutional to keep the refugees in the camp.
They were then moved to semi-open accommodation, first on Manus and then in the capital, Port Moresby.
The program with Papua New Guinea was discontinued last year.
In 2016, the United States agreed to take in a total of 1,250 of the detainees.