A spokesperson for Blair said the former Labour leader recalled his meeting was "less than 30 minutes" and took place "long before" Epstein's crimes were known about.
The BBC reported the meeting was arranged after recently sacked US ambassador Peter Mandelson sent an email to Blair's then chief of staff Jonathan Powell, now national security adviser.
In it, Mandelson described Epstein as "a friend" and added he had "ascertained from Jeffrey that he is flexible - he could be here any time from Tuesday onwards to fit round the diary - but would obviously need to know reasonably quickly so as to re-schedule accordingly".
The document was released by the National Archives after a Freedom of Information request. Mandelson suggested former US president Bill Clinton wanted to introduce "his travelling friend" Epstein to Blair.
"As far as he can remember, Mr Blair met with him for less than 30 minutes in Downing Street in 2002, and discussed US and UK politics," the spokesperson said.
"He never met or engaged with him subsequently.
"This was, of course, long before his crimes were known of and his subsequent conviction."
A wealthy and well-connected financier, Epstein was found dead in his New York jail cell weeks after his 2019 arrest in what investigators ruled a suicide.
His former girlfriend, Ghislaine Maxwell, was convicted in 2021 of helping lure teenage girls to be sexually abused by Epstein and is serving a 20-year prison sentence.
Mandelson was sacked as Britain's ambassador to the US in September after a trove of emails revealed the depth of his ties with Epstein.
With Reuters
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