Trump and the first lady will then go on to Windsor Castle to meet the Queen.
He said Mr Trump and Mrs May have "a good relationship" and would discuss a wide range of topics at Chequers.
He will visit an unspecified defense site before holding talks with Prime Minister Theresa May at Chequers, meet Queen Elizabeth at Windsor Castle and attend a black-tie dinner with business leaders near Oxford.
Briefing reporters on a conference call from the US Embassy in London, Mr Johnson played down the influence on the planning of Mr Trump's visit of the expected demonstrations, which will include a giant inflatable effigy of the president in a baby's nappy floating above Parliament.
"Our armed forces have fought together for over a century and no two countries work closer together in defence co-operation and that element of the visit is a reflection of that".
Mr Trump's trip is classed as an official visit, rather than the full-scale state visit, hosted by the queen, for which May invited Mr Trump soon after his January 2017 inauguration.
Trump is due to land in the London area on Thursday afternoon after a two-day North Atlantic Treaty Organisation summit in Brussels.
"He would love to do a bilateral trade deal and he is really ready to step up on that the minute we get the go ahead to do it".
"We are a free and open democracy, and we believe in the right to peaceful protest", May's spokeswoman added.
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The welcoming event in the pub is in contrast to the large scale protests expected in the capital during the president's visit. As head of state, Her Majesty met with every U.S. President since 1952.
Johnson said the trip was not planned to avoid the protests.
The president can feel Churchillian at Blenheim Palace, where Winston Churchill was born.
"We're looking forward to making sure the President has a chance to see and experience the United Kingdom beyond London and the South-east", added the spokeswoman.
His next stop will be Helsinki, Finland, for a much-anticipated summit on July 16 with Russian President Vladimir Putin.
Mrs. May has publicly admonished Mr. Trump, including his trade agenda, and the two engaged in a Twitter spat past year after Mrs.
On Friday evening, the Trumps will travel to Scotland, where the President owns two golf properties, Trump Turnberry and Trump Aberdeen.
The amount raised by the Trump Baby crowdfunder means that the balloon will be following the President around the globe, organisers have said. In a crowdfunding request, they wrote that they want the balloon to shadow the president, "haunting the skies - and hopefully the dreams - of the stain on the office of President that is Donald Trump Senior".