May was the first foreign leader to visit Trump after his inauguration. However, their reunion could prove tense after she branded his immigration policy "inhumane".
"When we disagree with the United States, we tell them so," she told MPs in the Commons.
"But we also have key shared interests. It is right that we are able to sit down and discuss those with the president－a president of a country with which we will continue to have a longstanding special relationship."
In February last year, it was announced that Trump had decided to delay the visit amid snubs from MPs and in order to avoid protests.
In November, the trip was again postponed because of widespread dismay over his travel ban on citizens from Muslim-majority countries.
Trump was also due to visit the UK in February to open the new U.S. embassy, but he launched a scathing attack on the new building, calling it a "bad deal" in a "lousy location".
Andrew Bennett, professor of government at Georgetown University, said that with Trump there is no clear sense of his endgame, or what he expects or wants that is achievable in terms of trade.
"There are areas where there is room to criticize Europe on trade, or China on trade, but to just criticize without providing a clear set of expectations and what your goals are is not very productive," he said.
Rod Hunter, a partner at law firm Baker McKenzie, who specialize in international trade, believes the president is seeking a trade dispute. "That's his notion of negotiation. We are in for a bumpy ride, including with our closest allies, during the president's term in office.
"There are opportunities for making progress with the EU, for example, on autos, but it's not clear the political context is ripe. The president's pugilistic approach makes it difficult for trading partners to find common ground."
Trump's mood on arrival in Britain could depend on how discussions go at the NATO summit in Brussels.
Last week, he told a crowd in Montana, "I'll tell NATO, you got to start paying your bills." The president has questioned the value of the U.S. paying for the collective defense of Germany.
Any divisions between NATO allies during Trump's visit to Brussels could adversely affect the scheduled meeting between Russian President Vladimir Putin and Trump on Monday.
Bennett added: "The worst scenario from the American point of view is if there's a critical tone (from Trump) of the NATO alliance, and days later there's an uncritical tone of Putin and Russia. That just achieves Putin's agenda, not the United States' agenda.
"The best outcome is if the NATO allies agree to more commitments on defense spending, and Trump recognizes that－that would be progress."
Trump will meet British Prime Minister Theresa May, Queen Elizabeth II and prominent business leaders during his four-day trip.
The U.S. Commander-in-Chief is set to arrive on Air Force One at London Stansted Airport on Thursday evening after attending the NATO summit in Brussels. From there, he will go to Blenheim Palace in Oxfordshire, the birthplace of Churchill, where May will host the president and his wife for a black-tie dinner with 100 guests and business leaders.
Trump will spend the night at the residence of the U.S. ambassador in central London, and on Friday the president and May will attend a demonstration of the UK's cutting-edge military capabilities and integrated UK-U.S. military training.
After that comes a working lunch at Chequers－the prime minister's official country residence－for what Downing Street says will be "substantive bilateral talks" covering a "range of foreign policy issues." These could include trade tariffs, Russia and North Korea.
The queen will host Trump at Windsor Castle later on Friday. He is expected to visit his golf course in Turnberry, Scotland, on Saturday before heading back to mainland Europe on Sunday ahead of the historic meeting with Putin in Helsinki on Monday.
