White House Press Secretary Sarah Sanders stopped short of confirming the decision but said officials were "still finalizing" whether Ireland would be a stop on the tour, without giving a reason for the rethink.
According to Gavan Reilly, of Virgin Media News, 'U.S. officials in contact with Irish counterparts about planning it, say it won't go ahead'.
"We are still finalising whether Ireland will be a stop on that trip".
The White House announced in August that Mr. Trump would be visiting Ireland.
The President is scheduled to travel to G20 meetings later in November in the Argentine capital, Buenos Aires, and make a stop in Colombia. "As details are confirmed we will let you know", Ms Sanders said.
Brendan Howlin, the leader of the Labour Party in the Republic of Ireland, said that Mr Trump was "no friend of democracy or human rights".
Trump had been scheduled to stop in Ireland on his way back from commemorations of Armistice Day in France on November 11.
The Government had begun preparations for the visit after it was announced by the White House two weeks ago.
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.
The Green Party had called on the Irish government to cancel the visit.
He said last week that information regarding the intended trip came "a little out of the blue".
Trump's family business operates a golf club on Ireland's west coast.
It was to be his first visit to the country since becoming president in 2016.
He pointed to the lack of a United States ambassador to Ireland for two years when he said: "I think it's time to try and get this relationship sorted".