"We recognise that will be an inconvenience for those wishing to get to their destinations. Once conditions improve, we will be working with the airlines to ensure we clear the backlog as soon as possible."
Travellers are advised to check with their airline for up to date information.
A caller to Newstalk ZB this morning said their Jetstar flight managed to land in Wellington, but the problem on board was that there weren't enough sick bags.
"You would think on a day like this they would have probably stocked up on them, but no."
Earlier this morning, a false fire alarm at about 5.30am forced an evacuation of the airport terminal.
The alarm was caused by a car in the valet area hitting the fire system.