Mr Linley is the son of The Queen’s sister Princess Margaret, is 21st in line to the throne, is an honorary chairman of auction house Christie’s, and runs his own furniture company Linley.
He appears to have been named in Epstein’s black book which includes some of the world’s most powerful people, such as Donald Trump and former US president Bill Clinton.
The connection comes as his cousin Prince Andrew continues to face pressure to speak to the authorities about what he knew about Epstein and Maxwell.
Andrew is known to have been friends with the couple for a time, and has been accused of having sex with a 17-year-old sex slave – an allegation he strongly denies.
Epstein’s little black book has leaked online, and The Sun Online verified that the name “David Linley” is listed along with one redacted phone number.Hundreds of other names in the book appears to include billionaire Richard Branson, former F1 boss Flavio Briatore, former PM Tony Blair, and rockstar Mick Jagger.