Claims by the Prime Minister's chief business adviser about climate change have been rejected by the head of the Bureau of Meteorology as "incorrect", irrelevant and "old red herrings".

Earlier this month, Maurice Newman, the chairman of the Prime Minister's business advisory council, came under fire after he wrote in The Australian that scientific modelling showing the link between humans and climate change was wrong and the real agenda was a "new world order" led by the United Nations.

In a Senate estimates hearing on Monday, Greens climate spokeswoman Larissa Waters read through the opinion piece, paragraph by paragraph, asking the bureau's director of meteorology and chief executive Rob Vertessy to respond to Mr Newman's claims.

"There are multiple statements which assert facts about climate science which I'm intrigued on the bureau's view about," Senator Waters said.