Prime Minister John Key says New Zealanders need to be aware of what they will be entitled to in Australia if they are thinking about moving.
The rights of New Zealanders living in Australia on a long-term basis are expected to be raised at this weekend's meeting in Queenstown between Mr Key and Australian counterpart Julia Gillard.
Ms Gillard arrives on Friday afternoon at the resort town and will return to Australia on Sunday.
Mr Key says it is a matter for the Australian government to decide, but New Zealanders should be aware that while they have freedom of movement across the Tasman, they do not have automatic rights to permanent residency.
John Key says Closer Economic Relations will be one of the main items on the agenda.
"This year's talks are particularly significant in that they mark 30 years since the conclusion of CER, one of the most comprehensive and successful trade agreements in the world.
"CER's helped make Australia and New Zealand two of the most integrated and successful economies anywhere."
Mr Key says the leaders will also discuss co-operation in the Asia-Pacific region and other parts of the world, as Australia looks towards assuming presidency of the G20 and a seat on the United Nations Security Council.