"No one seem pertubed. They were calm because [the captain] was calm."
Wilson saw fire engines as the plane landed, but passengers had been warned they would be there.
Air New Zealand spokesman Mark Street said the landing was not an emergency one.
Passengers continued their journey to Nelson on a different plane just before 9pm.
Another passenger, who did not want to be named, described the crew and Air New Zealand staff on the ground as "awesome".
"When we landed they came out with water and said we could stay in Auckland if we wanted, but most people just wanted to get home."