Donald Trump and Theresa May will meet for talks at the World Economic Forum in Davos next week.
The Prime Minister and the US President will hold a bilateral meeting in the margins of the Swiss summit.
Downing Street and the White House made the announcement just a day after reports Mr Trump would snub the PM at the gathering.
It also comes after Mr Trump said last week that he would not be travelling to London to unveil the new US Embassy.
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A No 10 spokesman said: "The Prime Minister will have a bilateral meeting with President Trump in the margins of the World Economic Forum at Davos in Switzerland next week."
The White House Press Secretary Sarah Sanders said that the meeting would "strengthen the US-UK Special relationship".
Mr Trump is thought to be likely to use his appearance to promote his America First strategy at an event associated with the rise of globalisation.
The event takes place at the upmarket ski-resort Davos between January 23 and 26, with business leaders, politicians and representatives from non-government organisations among those attending.
Mr Trump will be the first sitting US president to attend the summit in person since Bill Clinton in 2000.
