"Due to school holidays, Air New Zealand has limited availability to re-accommodate customers today, however our teams have been communicating with affected customers to rebook them on the next available service."
Herald columnist and women's rugby advocate Alice Soper was among those on a cancelled flight, with her plans to travel to Auckland to MC an event thrown into disarray.
On Twitter, she said spent two hours on the phone with Air New Zealand and they offered a flight at 8pm - five hours after her event was due to start.
She eventually spoke to Jetstar and booked a seat on an early afternoon flight.
"Jetstar just saved the day and I am crying at their counter," she said.
Another Twitter user, Newsroom co-editor Tim Murphy, said the PA system at Auckland Airport told passengers on cancelled flights there were no seats on other flight and they could rebook for Saturday.
Morgan said the safety of customers and crew was Air New Zealand's top priority.
"We apologise for any disruption this may have caused and thank our customers for their patience and understanding."