The accident happened at the Envirowaste refuse station off Constellation Drive in Mairangi Bay.
It was understood the person may have been crushed by a bin.
Police, fire and ambulance crews are at the scene.
The woman who answered the phone at EnviroWaste this afternoon said the company's senior management team had left to go to the Constellation Dr site.
She then referred all questions to chief executive Gary Saunders, who is in Australia.
Mr Saunders told the Herald from Australia he was not sure what had happened or who the person was.
"I haven't got any comment at this point in time. I'm still waiting to hear from my guys on the ground as to exactly what has happened."
He said earlier suggestions that it was an EnviroWaste employee who was crushed were incorrect.
"I understand it's a third party company that was using the site."
A statement from the company is expected sometime this evening.
WorkSafe New Zealand said it had been advised of an incident and it was making inquiries.
Last March a 20-year-old recycling truck driver was critically injured and later died in hospital after he was found unconscious in an EnviroWaste recycling truck in Thorndon, Wellington.
Junior Hunt was pulled from the truck and taken to Wellington Hospital after he suffered horrific injuries after being crushed in lifting gear. He died the next day.
