Trump responded to Noah’s joke by saying he would be “sending my lawyers to sue”.
Posting on Truth Social, Trump wrote: “Noah said, INCORRECTLY about me, that Donald Trump and Bill Clinton spent time on Epstein Island. WRONG!!!
“I can’t speak for Bill, but I have never been to Epstein Island, nor anywhere close, and until tonight’s false and defamatory statement, have never been accused of being there, not even by the Fake News Media.
“Noah, a total loser, better get his facts straight, and get them straight fast.”
He added: “Get ready Noah, I’m going to have some fun with you!”
Epstein was found dead in his New York prison cell in 2019 while awaiting trial on sex trafficking charges, more than a decade after he was convicted of soliciting prostitution from a minor.
He had purchased his private island in 1998. Multiple survivors have alleged that they were trafficked there and abused.
Trump has engaged in legal action with multiple media organisations in recent years, including the New York Times and the Wall Street Journal.
In December, he filed a multi-billion dollar lawsuit in a Florida court accusing the BBC of defamation and of violating a trade practices law over the editing of a Panorama programme.
Noah is a South African-born comedian who hosted The Daily Show on Comedy Central in the US for seven years.