They were among six tourists who died along with the pilot of the aircraft which came down on the Fox Glacier, a popular tourist site on the country's South Island, officials said.
The helicopter came down and into a crevasse on Saturday morning local time and police said that recovery will take place on Sunday, local time.
The helicopter is thought to be a Eurocopter "Squirrel" operated by the local company Alpine Adventures, the BBC reported.
A spokesman for the New Zealand Police said: "Police believe the passengers in today's helicopter crash on Fox Glacier were six foreign tourists."
"It is believed two were Australians and four were from the United Kingdom. Formal identification of those people will take some time.
"Police have been liaising with the embassies of the countries concerned to ensure the next of kin are advised of the situation."