Americans in London have been warned to "keep a low profile" during the trip, while a crowd-funded "Trump Baby" blimp has been cleared for take-off on Friday morning outside Parliament House.
It comes just days after the president declined to say whether Mrs May should remain in post, said he had "always liked" Boris Johnson, who quit as foreign secretary over the Chequers agreement, and described the United Kingdom as being in "turmoil". "But I'm going to a pretty hot spot right now with a lot of resignations".
"I have North Atlantic Treaty Organisation, I have the UK, which is in somewhat turmoil, and I have Putin", Trump said, listing his European itinerary when he departed the United States on Tuesday. "I was happy when Obama did it".
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.
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".More news: "US Not Treated Fairly But I believe In NATO", Says Trump
"This week we have an opportunity to deepen this unique trading relationship and begin discussions about how we will forge a strengthened, ambitious and future-proof trade partnership".
While tens of thousands of Brits are set to protest Donald Trump's visit on Thursday, one pub in west London will be welcoming him with open arms.
The Jameson in Hammersmith has rebranded itself The Trump Arms for the US President's visit.
"I would be happy to see Hillary Clinton if she was president visit the UK".
Ambassador Johnson's sentiment has been echoed by a number of residents in the north of England, who say that whether they agree with the president or not, he is worthy of respect as America's leader.More news: Iranian Woman Arrested Over Dancing Video
A campaign is also underway to get "American Idiot", a 2004 song by the USA punk rock band Green Day, to the top of the UK Singles Chart.
A small demonstration is expected to take place near Blenheim Palace in Oxfordshire on Thursday, the venue for Trump's black-tie dinner with May on Thursday evening.
That afternoon he will meet the Queen at Windsor Castle before heading to Scotland for a private holiday.
The two leaders are also expected to discuss Russia, Brexit and Middle East.
Trump and his wife, First Lady Melania, will land at London's Stanstead airport after attending a North Atlantic Treaty Organisation summit in Brussels.More news: Stormy Daniels arrested in OH , lawyer says
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