The UK's ambassador to the United States confirmed the visit, which will include face-to-face talks with Ms May.
"Since moving into the White House, Mr Trump has shown an impatience bordering on intolerance toward peaceful protests, the media and even the democratic process itself".
There had been some speculation in Leinster House that Mr Trump may make a brief visit to Ireland during the summer. The Prime Minister said: "I never think it's helpful for anybody to speculate on what is an ongoing investigation". "They need to start respecting things like intellectual property rules, not require people to joint venture to operate in the country and then transfer their technology to the Chinese company."Hassett also rejected the notion that there were deep private divides among Trump's economic advisers on trade policy".
When May condemned Trump for sharing the messages, he tweeted at her "don't focus on me, focus on the destructive Radical Islamic Terrorism that is taking place within the United Kingdom".
And she reportedly pokes fun at the size of Mr Trump's hands, telling a Conservative fundraising party, in response to applause from donors: "Thank you very much for that wonderful reception".
"He will hold bilateral talks with the Prime Minister during his visit. Further details will be set out in due course", a Downing Street statement said.
On Tuesday Trump said there was "a very good chance" the two countries could reach a deal as a USA delegation prepared to head to China in a few days.
President Trump and Theresa May during the North Atlantic Treaty Organisation (NATO) summit in Brussels last May.
Almost 2 million people signed a petition demanding that the president be banned from making a state visit to the UK.
Trump made a sudden announcement on January 11 that he has cancelled his trip to Britain due to disappointment over the new location of the USA embassy in London.
However, it is thought he scrapped the visit over fears of mass protests in the capital, something that is also believed to have played a part in the postponement of a state visit.
By contrast to his previous promises of an unwelcoming London, today Mayor Khan took to Twitter to call the city "open", and apparently without irony in an age of advancing censorship said that Londoners treasured freedom of speech.
Campaigners have previously said Trump would face the biggest rally "ever seen", should he come to the UK.