"I get along with her very well, I have a very good relationship", Trump said on Tuesday before departing for his week-long trip through Europe.
In a near replay of their famous hand-holding at the White House, the president briefly took Mrs May's hand after arriving as they went up the stairs into the palace following a performance from a military band.
When asked whether May agreed with Trump's assessment, the spokesman said he hoped Trump would have a positive view of Britain after his visit which starts on Thursday.
Hague cautioned that Davis and Johnson's resignation will trigger a second referendum or weaken London's position in negotiations with Brussels.
After the hours-long meeting at Chequers, May seemed to have persuaded the most vocal Brexit campaigners in the cabinet, including Davis, to back her plan to press for "a free trade area for goods" with the European Union and maintain close trade ties.
Prime Minister holds a meeting of her new cabinet on July 10, 2010.
Johnson, one of the best-known and most flamboyant members of the government, quit just hours after the resignation late Sunday of Brexit Secretary David Davis, the government's top Brexit official.
She had used the Blenheim black tie dinner with political and business leaders to press Mr Trump on the benefits of a free trade deal after Brexit.
"The President likes and respects Prime Minister May very much".
"It delivers on the vote that people gave on Brexit, it delivers the fact that we will have an end to free movement, we will have an end to the jurisdiction of the European Court of Justice in the United Kingdom, we won't be sending vast contributions to the EU every year, we'll be out of the Common Agricultural Policy, out of the Common Fisheries Policy", she said. "As he said in his interview with the Sun she "is a very good person" and he 'never said anything bad about her, '" Sanders said in a statement.
Trump also lamented in the interview that May had ignored his advice on how to proceed with Brexit, for which the British voted in 2016. European Union officials have warned Britain repeatedly that time is running out to seal a deal spelling out the terms of the divorce and a post-split relationship.
"They voted for us to take back control of our money, our law and our borders", she said. "That is exactly what we will do".
Amid growing discontent on the Tory backbenches, Brexiteer Andrea Jenkyns warned that more resignations could follow those of Mr Johnson, Mr Davis, Brexit minister Steve Baker, two Conservative vice-chairs and two parliamentary aides.
Trump blamed London mayor Sadiq Khan for allowing the protests and blasted the city's first Muslim leader as weak on terror and crime.
"We need to rise to the challenge and grasp the opportunities" of Brexit, said Mr. Raab, adding that the policy represented a "balance".
Khan gave protesters permission to fly the 20-foot-tall balloon depicting Trump as an angry baby in a diaper.
Mr Davis said the "current trend of policy and tactics" was making it look "less and less likely" that Brexit would deliver on the referendum result and the Tory commitments to leave the EU customs union and single market.
Under the blueprint, Britain would stick to a "common rulebook" with the European Union for goods and agricultural products in return for free trade, without tariffs or border customs checks.
Boris Johnson (pictured in London yesterday) has said he "just wants to get out of the EU" and that Britain can worry about the details "later" a former No10 aide has said.