Prime Minister Malcolm Turnbull has strongly denied reports US President Donald Trump hung up on him during a phone call at the weekend and insists the refugee resettlement deal will go ahead.

Speaking to 2GB Radio’s Ben Fordham today, Mr Turnbull said he was “surprised and disappointed” that purported details of the phone call were leaked.

“The report that the president hung up is not correct,” Mr Turnbull said, adding the conversation with Mr Trump ended “courteously”.

'Dumb deal': Mr Turnbull said the president, his press spokesman, and the US embassy had confirmed the deal.

Mr Turnbull said he was adamant the US would honour its commitment to take refugees from Nauru and Manus Island, despite Mr Trump’s latest tweet this afternoon deriding the deal brokered between Australia and the Obama Administration as “dumb”.

“That is his tweet. I'm telling you what has been said to us, and said by his spokesman, and said by the embassy," he said.

“He committed to stick to the deal that President Obama’s done.

“I’m very pleased that he made that commitment and I thank him for it.

“This is not a deal that he would have done or that he would regard as a good deal. But the question is; will he commit to honour the deal? And he has given that commitment," Mr Turnbull said.