They will then travel to Scotland later on Friday and spend the weekend there before leaving on Sunday for a summit with Russian President Vladimir Putin the following day in Helsinki.
The couple will attend a black-tie dinner on Thursday hosted by May at Blenheim Palace in Oxfordshire - birthplace of Sir Winston Churchill.
The visit, which coincides with Theresa May's second anniversary as Prime Minister, is expected to be met by protests, including the flying of a blimp depicting the 45th president of the United States as an angry orange baby over London. "We have ad hoc committees from every department - whether it's treasury, finance, trade - are looking at how to put that together really rapidly and efficiently".
Mayor of London Sadiq Khan has given permission for the balloon - a "six-metre-high, orange, inflatable baby with a malevolent face and tiny hands", according to organisers - to fly over London while Trump meets Prime Minister Theresa May at 10 Downing Street on July 13.
President Trump will arrive in Britain from Brussels.
Trump will follow the likes of Richard Nixon, George Bush Sr and George W. Bush in visiting the prime minister at her country residence, Chequers.
"Mr Trump has said some unusual and irregular things, and some things I would certainly not agree with, but he has not, like many world leaders who Her Majesty and the government have met over the years, abused human rights".
Protests are also planned in more than 30 towns and cities around the country, including Cambridge, Cardiff, Edinburgh and Belfast. Activists are planning large demonstrations to coincide with the visit.
"I do find it curious the amount of opprobrium and time that protesters dedicate to the freely elected leader of a free country, that they don't direct towards the visit of somebody like the president of China", she said.
Mrs May announced President Trump would be coming for a state visit to the United Kingdom in January 2017 after she became the first foreign leader to meet with him in Washington following his inauguration.
Johnson said Trump's visit to Britain is meant to improve relations, and said trade between the countries has risen 21 percent since the start of the year.
Asked whether the president was seeking to avoid protesters, Mr. Johnson said: "The president is not avoiding anything". Mr. Trump has two golf courses in Scotland.
After meeting The Queen, the president will travel to Scotland.
Mr Trump - who will arrive with wife Melania on Thursday after a North Atlantic Treaty Organisation summit - will spend a relaxing weekend there to bring the trip to a close.
Smyth said he hopes that he'll have the chance to thank President Trump.