But the White House did not immediately confirm the cancellation, saying it was still finalizing plans for Trump's November trip to Europe.
"The US side has cited scheduling reasons", he added.
Trump was due to visit on November 12 with huge public outcry over the plans.
A planned November trip to Ireland that President Donald Trump was scheduled to take has been canceled, an Irish government official told HuffPost on Tuesday, but the White House said it's still a possibility.
"We can confirm that the proposed visit of the United States president is postponed". However, widespread reports emerging this afternoon suggest that he has cancelled the visit.
Had it gone ahead, the visit of the US President, who likes to constantly remind us that he has property in Ireland, was certain to be met with mass protests, with the appearance of the "Baby Trump" blimp among the projected highlights of what would doubtless have been a carnival of anti-Trump action. "As details are confirmed we will let you know".More news: Trump says he will delay border fight until after midterms
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Mr Trump was originally invited to Ireland by former taoiseach Enda Kenny on his final St Patrick's Day visit to the White House previous year. However, the Taoiseach had issued an invitation to Donald Trump, when he attended the traditional Irish ceremonies in the White House, on St. Patrick's Day last.
Donald Trump's decision to change his mind, and to cancel the trip, will likely come as a major relief to the Irish Government, and especially to the Taoiseach.
Green Party leader Eamon Ryan said: "Trump's positions and demeanour on every issue of the day, from climate to women's rights, from global relations to political decency, represent the opposite of Irish values".
Last week, Deputy Prime Minister Simon Conveney admitted the Irish government was "a little bit taken by surprise" when the announcement of the US President's visit was made.
A number of political parties - including Labour, the Green Party, and People Before Profit - had called for protests to coincide with the visit.