An Irish government spokesman told Reuters: "The proposed visit of the US President is postponed".
Sanders confirmed that the Paris leg of the trip was still scheduled.
His visit to Ireland was to coincide with that trip. "It's hard to know why the trip has been cancelled at this stage, but we are nonetheless glad that such a costly, potentially divisive and undignified event will now not take place".
In an apparent communication breakdown, representatives of the Irish government said it was their understanding that Trump's schedule would not permit a visit in November.
Mr Varadkar said there is a standing invitation for any USA president to come to Ireland and many have in the past.
But the White House did not immediately confirm the cancellation, saying it was still finalising plans for Trump's November trip to Europe.
The U.S. President had planned to visit Dublin, and his five-star West Clare resort, on November 12th and 13th.
He had been due in Ireland the following day.
The White House had said the Irish visit would "renew the deep and historic ties between our two nations".
There has been no official announcement as yet from the White House and no indication that the visit will be rescheduled.
The decision to welcome Mr Trump to Ireland was met with widespread criticism across the political spectrum.
The trip to Ireland would be Trump's first to the country as President but his reception there was expected to be frosty.
In 2017, Mr Varadkar's predecessor, Enda Kenny, also extended an offer for the United States president to come and visit.
"A number of government ministers, who are independents as it is a minority government, were planning to join the protests", the source said.
Mr Martin said the whole episode had been "a very unedifying experience".