The Trump administration said last month that the president would visit Ireland for the first time as commander in chief after attending a commemoration in Paris of the 100th anniversary of the armistice that ended World War I on November 11.
Mr Trump was apparently planning to spend a day in Dublin before travelling to Doonbeg, Co Clare, where he owns golf links.
The U.S. President had planned to visit Dublin, and his five-star West Clare resort, on November 12th and 13th.
"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". We are still finalizing whether Ireland will be a stop on that trip.
Taoiseach Leo Varadkar has yet to respond to the news.
The White House announced in August that Mr Trump would travel to Ireland as part of a trip to attend the 100th anniversary of the armistice that ended World War One in Paris on 11 November.
A Government spokesperson said that the visit by Mr Trump has been "postponed for scheduling reasons".
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According to Independent.ie, sources have said Trump's whole European itinerary is under review with the Irish trip definitely cancelled.
RTE also said the visit had been cancelled.
Following the confirmation of Mr Trump's visit there had been calls for protests. It is believed that no formal communication has been made to the Irish Government yet.
He said: "It will be controversial because everything Donald Trump does these days is controversial".
It was to be his first visit to the country since becoming president in 2016.
Mr Varadkar has previously said that there is a standing invitation for any USA president to come to Ireland as many have in the past.