But the White House did not immediately confirm the cancellation, saying it was still finalizing plans for Trump's November trip to Europe.
The President was due to visit his golf course in Doonbeg, County Clare, and Dublin on the weekend of 10-11 November.
"The US side has cited scheduling reasons", he added. However, widespread reports emerging this afternoon suggest that he has cancelled the visit.
But an Irish government spokesman said the trip had been "postponed".
The giant "baby Trump balloon" flown during the US President's trip to the US was set to take to the skies in Ireland during his visit. "As details are confirmed we will let you know".
"Clearly the outpouring of objections to this visit has had the desired effect as President Trump has decided not to come to Ireland".
This would have been the US President's first visit to Ireland since he assumed office in January 2017.
Stateside the issue of the illegal Irish hasn't garnered the attention the government would have hoped.
Irish activists espousing left-wing and environmentalist causes had pledged to hold protests.
Irish Taoiseach Leo Varadkar has previously said news of the visit came a little bit out of the blue.
The President's trip, planned for November 12th after Armistice Day commemorations in France, will not now happen.
Irish Prime Minister Leo Varadkar opposed extending an invitation to Mr Trump when he was a cabinet minister, but changed his mind when he became PM.
Mr Coveney said: "It will be controversial because everything Donald Trump does these days is controversial".
Brendan Howlin, the leader of the Irish Labour Party, accused Trump of being "no friend of democracy and human rights" in an August 31 tweet calling on people to join anti-Trump protests.