The Taoiseach's spokesperson was unable to confirm that the trip had been cancelled when reports broke earlier on Tuesday.
The Green Party called on the Irish government to cancel President Trump's visit, when party leader Eamon Ryan tweeted he will be organizing a protest and called out for others to join him.
Irish Prime Minister Leo Varadkar, who as a cabinet minister opposed extending an invitation to Trump before changing his mind when he became prime minister, had described the trip as coming "a little bit out of the blue", but said the office of the USA president must be respected.
The White House had announced the visit on August 31, taking Varadkar by surprise.
He last visited Doonbeg in May 2014 and was due to visit again a few months before the United States presidential election, in the summer of 2016, but later shelved the plan.
US President Donald Trump's scheduled visit to Ireland in November has been cancelled.
"The president will travel to Paris in November as previously announced".More news: Tiger Woods fires a 62 at the BMW Championship
He said the way Mr Trump's visit and expected cancellation played out has been "extraordinary".
"Donald Trump's administration champions policies that are destroying our planet, destabilising worldwide order, and reaching new political depths by appealing to racism, misogyny, xenophobia and hatred", Irish Green Party leader Eamon Ryan wrote in a statement urging people to reject Trump's visit.
The Irish Government had been heavily criticised for the planned visit. "We need to make sure that's appropriate and fits around that as well".
"It was a bolt out of the blue".
Asked if he had ever seen such haphazard organisations for a visit by a US President Mr Martin, a former foreign affairs minister said: "No I haven't I have never seen anything like this before".
Donald Trump was due to go to Ireland for November 12 as a stopover on his way back to America after visiting France for the World War I service.
He also said it could be symptomatic of how Mr Trump operates, making decisions and undoing them quickly.