The White House said it would help "renew the deep and historic ties" between the two countries.
The government in Dublin confirmed in a statement that "the proposed visit of the USA president is postponed".
President TrumpDonald John TrumpOakland Raiders's Marshawn Lynch sits during national anthem, then scores touchdown Trump declares state of emergency in Carolinas ahead of Hurricane Florence Ex-NFL player tears into Nike: Kaepernick ad "like 9/11 and Pearl Harbor" MORE's scheduled trip to Ireland in mid-November has been canceled, an administration source confirmed to The Hill on Tuesday.
On August 31, the White House had announced that the US President would travel to Ireland as part of a trip to attend the commemoration of the centenary of the Armistice taking place in Paris on November 11.
A number of groups announced they would stage protests during Trump's visit, in which the president had been expected to visit the capital Dublin and his golf resort in the west coast village of Doonbeg.
News of the cancellation was first reported by an Irish national newspaper, The Irish Independent.
U.S. President Donald Trump walks to Marine One while departing the White House in Washington, U.S., September 6, 2018.
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Mr Varadkar said there is a standing invitation for any USA president to come to Ireland and many have in the past. "We hadn't known until just a couple of days ago that he was going to take the opportunity", he said.
The tweet included a photo whose caption said "the invitation to Trump is unnecessary, unwelcome & unwise".
Opposition to the visit in Ireland was been expressed by the leader of the Labour Party in the Republic of Ireland, Brendan Howlin, saying Trump is "no friend of democracy or human rights".
"We are still finalizing whether Ireland will be a stop on that trip", she said.
The meeting would apparently be on the sidelines of the World War I Armistice Day ceremonies on November 11. "I can only say that Trump has accepted the invitation".
The meeting would be a follow-up to the stand-alone summit between Trump and Putin in July.