Nanogirl Dr Michelle Dickinson is among those stuck on the tarmac. She tweeted that she had been sitting on the plane "waiting for a sign there will be an airbridge available soon".
She appears to be late for an event, replying to a tweet saying people, including comedian Te Radar, were waiting for her at the KiwiNet Awards.
Justin Tomlinson said he was missing his birthday dinner being stuck on the tarmac.
A spokesman for the airport said it was an Air New Zealand issue and referred all queries to the airline.
An Air New Zealand spokeswoman said bad weather around the country was causing delays.
"Congestion on the tarmac at Auckland Airport as a result of weather conditions around the country today is causing some delays on arrival due to gate availability," she told the Herald.
"We do apologise for the inconvenience to customers throughout the day as we've dealt with disruption due to weather and we appreciate their patience."