Radio DJ Paul Gambaccini has won damages from prosecutors over unfounded allegations of historical sex offences.
The presenter, 69, was arrested in 2013 over a claim he sexually assaulted two teenage boys in the early 1980s.
Mr Gambaccini always denied the claims, calling the case “completely fictitious”. He spent a year on bail before the case was dropped.
The amount paid to Mr Gambaccini by the Crown Prosecution Service has not been disclosed due to confidentiality.
But the CPS confirmed: “We have reached an agreement without admission of liability”.
Former BBC Radio 1 presenter Mr Gambaccini, who now hosts Radio 2’s Pick of the Pops, has given an interview to the Daily Mail in which he describes how his life was turned upside down.
He told the paper: “I was too angry to cry.”
His arrest was part of the Metropolitan Police’s Operation Yewtree investigation, which was set up following revelations about paedophile Jimmy Savile.
The American-born broadcaster previously said he was the victim of a “witch hunt” and that he had endured “12 months of trauma”.
He gave evidence to a committee of MPs about his experience and backed calls for a 28-day limit on police bail. The bail limit was introduced two years later.