"Weather is horrible in Rarotonga and we couldn't land ... well, at the very least we've got another three hours to watch another movie.
"What do you do eh? Take is as it comes I feel."
Coast FM host Lorna Subritzky is in Rarotonga and wrote on Facebook that the edge of a cyclone had hit the island.
"The daily flight in from Auckland valiantly tried to land without success. Lots of Kiwis due to leave are now back at the resort."
The Cook Islands reopened its borders to fully vaccinated New Zealanders aged 12 and over eight days ago. A negative Covid-19 test is also required no more than 48 hours before departure.
The border had been closed since the start of the Delta outbreak in Auckland five months ago.
Those on board today's flight would be transferred to tomorrow's 6.45am flight to Rarotonga, the Air New Zealand spokeswoman said.
"We're very sorry for any inconvenience this caused our customers."