The former UKIP leader, who campaigned for then-candidate Trump in 2016, met the Republican President at the Conservative Political Action Conference on March 2.
A photograph of the meeting shows both men smiling to the camera with their thumbs raised.
Mr Farage likened Brexit to Mr Trump’s negotiations with North Korea and said it was better to walk away with no deal, the
Allies: The White House issued this picture of President Donald Trump (left) with Nigel Farage when they met at the Conservative Political Action Conference in Washington on March 2
‘I was talking to him about Vietnam, where he had said that a bad deal was on the table so sometimes you have to walk. That was the exact quote from Trump,’ Mr Farage told the newspaper.
He added: ‘I said in the case of Vietnam that no deal was better than a bad deal and I gave my opinion that the same principle applied to Brexit.’
Mr Farage said the Trump White House ‘firmly believes in the nation state’ rather than ‘supranational structures’ such as the EU.
‘I think it’s fair to say they see Brexit as a great opportunity,’ he said.
‘This American administration firmly believes in the nation state, not supranational structures and this administration are hugely keen on the defence, security and indeed business relationships that exist between our two countries.
Nigel Farage meets Donald Trump, then President-elect, at Trump Tower in New York in November 2016 shortly after the Republican’s upset victory over Hillary Clinton
‘And I think it’s fair to say they see Brexit as a great opportunity.’
President Trump became friends during his campaign when the former UKIPleader, dubbed ‘Mr Brexit’, was greeted at a rally in Mississippi before the 2016 election.
The two were also pictured just after the election, in a golden elevator at Trump Tower in New York, where Mr Farage appeared to be spearheading a new relationship between the UK and US.
President Trump has spoken highly of Mr Farage in the past, stating that he would do ‘a great job’ as British ambassador to the United States.
The president had urged Theresa May not to walk away from a deal with the European Union outside Chequers in July 2018 – though he has been critical of the Brexit deal, warning it will limit a US-UK free trade deal.