White House spokeswoman Sarah Sanders said: "The President will travel to Paris in November as previously announced".
Varadkar reversed his longstanding opposition to a Trump visit after being elected prime minister previous year, warning government officials to respect the office of the US president amid protest threats by various political parties.
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 US president must be respected.
The US president was originally invited to Ireland by former Taoiseach Enda Kenny on his final St Patrick's Day visit to the White House.
Mr Varadkar said there is a standing invitation for any U.S. president to come to Ireland and many have in the past. Other protests were planned in Dublin and other Irish cities.
The Government had begun preparations for the visit after it was announced by the White House two weeks ago. Both parties were planning protests to mark Trumps arrival to the nation.
RTE also said the visit had been cancelled.
Brendan Howlin, leader of the Labour Party in the Republic, said Mr Trump was "no friend of democracy or human rights".
Mr Trump was due to stopover in Ireland on his way home from Armistice Day commemorations in France on November 11.
The decision to welcome Mr Trump to Ireland was met with widespread criticism across the political spectrum.
Trump was among the world leaders to congratulate Varadkar on becoming the country´s youngest ever and first openly homosexual leader after his election past year.