Large protests had been expected, including the appearance of the "Trump baby" balloon that flew in London during the president's visit to the U.K.in July.
Trump's visit was scheduled for November 12, a day after the Armistice Day celebration, and he was to spend a day in Dublin before visiting his golf course in Doonbeg on the Atlantic coast, the newspaper reports. "The US side has cited scheduling reasons".
But White House spokeswoman Sarah Sanders later told reporters that no final decision had been made.
In August, the White House announced Trump would visit Paris to attend events on November 11, the 100th anniversary of the armistice that ended World War I, as well as make a stop in Ireland.
"Clearly the outpouring of objections to this visit has had the desired effect as President Trump has decided not to come to Ireland".
"Help us to do so if you abhor his policies on climate change, refugee migration, trade wars, military expansion, economic inequality and the whole gung-ho, misogynistic, racially divisive show".
It was to be his first visit to the country since becoming president in 2016.
As with his trip to the United Kingdom earlier this summer, a number of groups, supporting left-wing and environmentalist causes, had revealed plans to protest.
Donald Trump's visit to Ireland has been cancelled.
The UK campaigners behind the controversial balloon said the Irish trip was an "excellent opportunity" to "troll" Mr Trump yet again.
The President's trip, planned for November 12th after Armistice Day commemorations in France, will not now happen.
A number of political parties - including Labour, the Green Party, and People Before Profit - had called for protests to coincide with the visit.
How long that will last remains to be seen: Donald Trump's position as US President has come under increasing pressure over the past week, with further insider revelations painting a picture of an administration which is eve=n greater disarray than had previously been imagined.