© David LevenePaul Gambaccini has been arrested and bailed as part of Operation Yewtree.
Gambaccini, whose broadcasting career spans 40 years at the BBC, was held on Tuesday as part of the inquiry into alleged sexual offences by Jimmy Savile and others.
Scotland Yard has refused to name the 64-year-old, but Gambaccini's identity was confirmed by sources on Friday.
The DJ, who is one of Britain's best known broadcasters and foremost authorities on music, becomes the 15th arrest under Operation Yewtree since it began a year ago.
He was arrested under the "others" strand of the investigation, meaning the allegations are not directly linked to Savile. He was held at an address in south London before being taken into police custody.
Shortly after 6pm on Tuesday Scotland Yard announced that the 64-year-old had been bailed to a date in early January "pending further enquiries".
A Scotland Yard spokesman said: "We don't give a running commentary on investigations and we don't confirm names [of arrestees before charge]."
Gambaccini and his agent declined to comment.
Operation Yewtree detectives arrested a second man, 74, in south London on suspicion of sexual offences on Tuesday, but his identity has not been confirmed.
New York-born Gambaccini, who has adopted the nickname "Professor of Pop" because of his breadth of knowledge of the genre, began his four-decade BBC career at Radio 1 in October 1973. He is the only person to have been a regular presenter on Radios 1, 2, 3 and 4, and he was also a founding presenter on Classic FM and had stints on breakfast television shows TV-am and GMTV.
His ruby anniversary was celebrated with a four-part BBC Radio 4 series, The Gambaccini Years, broadcast in August, featuring interviews with music luminaries including Elton John and Tim Rice.
Four individuals have been charged under Operation Yewtree, including the Australian entertainer Rolf Harris, celebrity publicist Max Clifford, DJ Dave Lee Travis and David Smith, a former BBC driver. Smith was found dead at his home in Lewisham, south-east London, on Monday on the eve of his trial over allegedly abusing a 12-year-old boy in 1984.
The Crown Prosecution Service (CPS) said on Thursday that it had received a full file of evidence from police in relation to Freddie Starr, the comedian arrested last November on suspicion of sexual offences. Starr was arrested for a second time in April after police received further allegations of sexual offences.
The CPS is also considering whether to bring charges against Gary Glitter after receiving a full file of evidence against him earlier this month.
A CPS spokeswoman said: "We are not prepared to discuss the identities of those involved or the alleged offences in any greater detail before a charging decision has been reached. We are unable to give any timescale for charging decisions, except to say that all cases passed to us for a charging decision will be considered very carefully and thoroughly, and decisions will be made as soon as is practicable."
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