"My message to those coming to the protests in London is that this must be peaceful and good-spirited".
Asked about Trump's comments, May said: "We're delivering on the vote of the British people to take back control of our money, our laws and our borders".
May will host a black-tie dinner for Trump at the stately home that will be attended by senior ministers and about 100 business leaders, including the likes of Blackstone group, Blackrock, Diageo, McLaren and Arup. Both those accords were the result of years of painstaking diplomacy by European leaders, and Trump unilaterally trashed them.
The president is then set to take tea with Queen Elizabeth II at Windsor Castle, before heading to Scotland and the rolling green landscape of his golf course.
34-year-old Eric flew into Aberdeen Airport on a Trump plane earlier today, with his father flying into the United Kingdom around lunchtime ahead of a meeting with the Prime Minister and the Queen.
During a press conference before departing the North Atlantic Treaty Organisation summit for the U.K., Trump was asked how he feels about the planned protests.
On Thursday, Trump will travel to Blenheim Palace, the 18th-century mansion where Britain's World War Two leader Winston Churchill was born and spent most of his childhood. "They like me a lot in the United Kingdom".
Following the gala event at the 18th century country house, Trump and his wife will come to central London to spend a night at US Ambassador Woody Johnson's official London residence, Winfield House, in Regent's Park.
Trump says North Atlantic Treaty Organisation members agreed to meet spending commitments
Still, Trump has been more conciliatory behind the scenes, including at a leaders' dinner Wednesday. This is not the first time the United States leader has heaped praise on his own intellect.
Tens of thousands of people are expected to protest against Trump's visit in central London on Friday, citing his alleged Islamophobia, controversial policies and "incendiary rhetoric" towards people with disabilities and the LGBTQ community.
But, he added: "Whether he sees it, whether he reacts to it, we don't really care".
Mr Trump is hardly likely to catch a glimpse of the six metre giant orange inflatable blimp that depicts him as a screaming baby. "It's really kind of irrelevant to what we're trying to do, and doesn't express the opinion of the British people that I've met", he told the BBC's Today programme.
His "America First" policies, including the decision to pull the USA out of the Paris climate accord and the nuclear deal with Iran, also have brought him into conflict with Britain's leaders over substantive geopolitical issues.
The Jameson in Hammersmith has rebranded itself The Trump Arms for the US President's visit.
The two leaders will hold talks the following day at Chequers, the 16th-century manor house which is the prime minister's official country residence which will focus on Russian Federation, trade, Brexit and Middle East.
On Saturday, Trump supporters will rally near the USA embassy in Nine Elms, south London, for an event titled "Welcoming Trump to Britain Rally - Make Britain Great Again", at which a number of right-wing figures are scheduled to speak.