But on Friday, Trump gave a press conference with May in which he said on Brexit, "Whatever you're going to do is OK with us".
The Guardian reports Mr Trump's press conference in which he disavowed comments he made to The Sun about Theresa May's Brexit plans and the impact on a trade deal.
"It was from right here at Chequers that Prime Minister Churchill phoned President Roosevelt after Pearl Harbor", Trump said, referencing the surprise attack by the Japanese on December 7, 1941, that plunged the USA into World War II.
He is planning to meet with Russian President Vladimir Putin next week. "I think he is a great representative for your country".
But Trump's visit came against the backdrop of tensions in the trans-Atlantic alliance: Mass protests of Trump in the streets of London, his second-guessing of May's handling of Brexit in an interview with a British newspaper and a string of global summits that have often pitted the USA against its traditional allies.More news: United Kingdom makes concrete European Union trade-relations proposals anticipating Brexit
The president has long admired Churchill, who coined the phrase the "special relationship" to describe U.S.
President Trump's complaints about "fake news" are often dishonest.
"I said very good things about her" in the interview, Trump said.
"If you reported them that's good", Mr Trump told the political correspondent.
The president said: "The only thing I ask of Theresa is that we make sure we can trade and we don't have any restrictions because we want to trade with the United Kingdom and the United Kingdom wants to trade with us". I actually told Theresa May how to do it but she didn't agree, she didn't listen to me.
"It will certainly be something that we bring up and talk about", Mr Trump said.More news: Antoine Griezmann mocks Chelsea star Thibaut Courtois
He adds that Mr Boris Johnson, one of Mrs May's primary rivals within the Conservative Party, would "make a great prime minister".
As Mr Trump and Ms May spoke, thousands of protesters marched through central London, one of more than 100 demonstrations against the President planned during his stay.
The recording exists. And it completely and utterly contradicts Trump's claim.
Trump has also frequently angered British politicians and has been involved in social media spats with London's Muslim mayor Sadiq Khan who Trump said had "done a very bad job on terrorism".
President Donald Trump and Queen Elizabeth II inspecting a Guard of Honour.
Late a year ago, May herself criticised Trump for retweeting a message by a member of a British far-right group, and the speaker of parliament has said the president would not be welcome to address the chamber.More news: Donald Trump keeps Queen waiting before Windsor Castle tea
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