"This is a devastating blow for our committed and talented team who have worked tirelessly to inform and entertain New Zealanders, through some of the country's best-loved and most-read magazines," said Bauer ANZ chief executive Brendon Hill.
Hill said the aim was now to sell the business.
"An active search is underway to find buyers for our New Zealand assets, including our many iconic titles, however, so far an alternative owner has not been found."
Hill attributed the closure to the Government's decision to move to the Covid-19 level 4 restrictions.
"We understand the New Zealand Government's decision to move to Covid-19 Level 4, but it has put our business in an untenable position. Publishing in New Zealand is very dependent on advertising revenue and it is highly unlikely that demand will ever return to pre-crisis levels," he said.
Bauer Media Group staff will be paid their full redundancy and leave entitlements.
Bauer has been looking to exit the magazine business for some time and opened the door to potential buyers last year.
It has so far been unable to secure a buyer for the business.
The exit indicates that the owners were not willing to weather the short-term losses waiting for the impact of the virus to end.