Politicians and activists in Ireland had indicated they would hold protests during Mr Trump's visit. Earlier this year Mr Varadkar said his USA counterpart was open to finding a solution but thus far none has been forthcoming, adding to the worries of the Irish community in the U.S. in the current climate.
Trump was due to visit on November 12 with huge public outcry over the plans.
"The president will travel to Paris in November as previously announced".
"Clearly the outpouring of objections to this visit has had the desired effect as President Trump has decided not to come to Ireland". "As details are confirmed we will let you know".
"The relationship between Ireland and the U.S.is so strong and so important, much more important than any Irish government or any USA administration", he told Irish broadcaster RTE.
This would have been the US President's first visit to Ireland since he assumed office in January 2017.
Irish activists espousing left-wing and environmentalist causes had pledged to hold protests.
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North Korean leader Kim Jong Un , right, and Li Zhanzhu, the head of China's National People's Congress, wave to the crowd. Add North Korea as an interest to stay up to date on the latest North Korea news, video, and analysis from ABC News.
RTE reports that Trump was expected to visit the golf course and capital city around the weekend of November 11 coinciding with a trip to Paris.
The UK campaigners behind the controversial balloon said the Irish trip was an "excellent opportunity" to "troll" Mr Trump yet again.
Mr Varadkar has previously said that there is a standing invitation for any USA president to come to Ireland as many have in the past.
Mr Coveney said: "It will be controversial because everything Donald Trump does these days is controversial".
Labour Party leader Brendan Howlin tweeted that Trump "has been no friend of democracy or human rights".