Sir Cliff Richard has been interviewed by detectives investigating a sex crime claim involving a young boy, his spokesman said.
The veteran star voluntarily met members of South Yorkshire Police and was not arrested or charged.
The singer's Berkshire apartment was searched by police last week as part of the investigation into an alleged sexual assault at a religious event in 1985.
A spokesman for Sir Cliff said: “Today Sir Cliff Richard voluntarily met with and was interviewed by members of South Yorkshire Police. He was not arrested or charged.
“He co-operated fully with officers and answered the questions put to him. Other than restating that this allegation is completely false and that he will continue to co-operate fully with the police, it would not be appropriate for Sir Cliff to say anything further at this time.”
The 73-year-old was in Portugal when the search took place on 14 August.
Sir Cliff's fans have rallied round the veteran star since the allegation became public and are showing their support by buying copies of his 1992 Number Seven hit I Still Believe In You with the song headed for this weekend's Top 40.
It emerged earlier this week that he has pulled out of a visit to the US Open tennis championships and turned down the freedom of his adopted Portuguese home city of Albufeira.
He also cancelled an appearance at a charity event at Canterbury Cathedral next month because he did not want the event to be “overshadowed by the false allegation.”
Meanwhile the BBC has been accused of a “cover-up“ over its role in the raid by officers from South Yorkshire and Thames Valley police.
South Yorkshire police chief constable David Crompton claimed the corporation appeared to “distance itself from what had happened” after it broadcast the raid on the pop star's penthouse.
The BBC, which had a film crew on the scene, broke the news of the search but has been heavily criticised for its handling of the story.
Mr Crompton said the BBC's misleading and inaccurate portrayal of its involvement in what happened led to the force making a formal complaint.
Cliff Richard: Life in pictures
Cliff Richard: Life in pictures
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Richard aged 18 at the Hulton Boys and Girls Exhibition at Olympia's Disc Theatre in August 1959 when he was lead singer of the Drifters
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Pictured in 1962 with members of the Shadows, his backing group. Next to him is Bruce Welch, who played rhythm guitar
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With his backing group, the Shadows, Richard became a massive pop star in the 1960s with a string of hit albums and singles including ‘I love You’ (1960), ‘the Young Ones (1961), Bachelor Boy (1962) and ‘Summer Holiday (1963)
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With his mother, Dorothy, and one of his sisters in 1964
Michael Stroud/Daily Express/Hulton Archive
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Outside the Royal Albert Hall where he represented the UK in the Eurovision Song Contest in October 1967
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Cliff Richard in 1968
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Cliff Richard poses in front of his disc awards in the 1970s
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On stage at the 1981 Royal Variety Performance, at the Theatre Royal, Drury Lane in London
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In an interview with the Daily Mail in 2008, Sir Cliff is reported as saying: "Of all the women I've known, there were only two that I've come close to marrying. One was Jackie Irving, a dancer whom I met in Blackpool. She was utterly beautiful and for a while we were inseparable. The other girl I came close to asking was Sue Barker, whom I met in 1982"
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Orchestrating a round of singing as rain delays play during the 1996 Wimbledon tennis championships
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Performing a duet with Flemish singer Helmut Lotti during a rehearsal of Lotti's album and TV broadcast 'Pop Classics' on 6 August 2003 in Brussels
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Performing on stage during the 'Intelligent Finance Cliff Richard Tennis Classic' at Birmingham National Indoor Arena on 18 December 2004
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Arriving with Brian May at the Royal Film Performance and World Premiere of 'The Chronicles Of Narnia' at the Royal Albert Hall on 7 December 2005 in London
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Unveiling a plaque of his handprints in Wembley Arena's Square of Fame on 9 November 2006 in London
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Sir Cliff Richard and The Shadows performs live on stage at the O2 Arena in London on 28 September 2009
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Cliff Richard attends a press conference to announce details of his new album at Gilgamesh on 7 March 2011 in London
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Queen Elizabeth II is introduced to Sir Cliff Richard backstage after the Diamond Jubilee, Buckingham Palace Concert on 4 June 2012, along with Sir Elton John, Sir Tom Jones, Paul McCartney, and Shirely Bassey
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Sir Cliff Richard at the 2012 US Open. The crooner claimed One Direction still compete with him to 'look cool'
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Performing on stage during the Diamond Jubilee concert at Buckingham Palace in 2012
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Cliff Richard attends the 'Willkommen bei Carmen Nebel' show at Volkswagen Halle on 23 November 2013 in Braunschweig, Germany
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Richard, 73, is one of the most successful British recording artists
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Sir Cliff, born Harry Webb, has sold an estimated 21.5 million singles in the UK and 250 million worldwide during a career spanning over 50 years
Keith Vaz, home affairs committee chairman, said the claims were a “matter of deep concern.”
He has summoned the chief constable and BBC director general Tony Hall to appear before the committee on 2 September.
Mr Crompton said the force was approached by a BBC journalist with detailed information about its investigation.
It “reluctantly agreed” to give the reporter notice of the day officers planned to search the property to dissuade the corporation from publishing details in advance and protect the “integrity of the investigation.”
“It was not done in order to maximise publicity, contrary to some press reports,” he wrote in a letter to Mr Vaz.
Mr Crompton said an article appeared on the BBC website on the afternoon of the raid that suggested there had been a deliberate attempt to “ensure maximum coverage” by the force.
”The force contacted the BBC but the corporation refused to withdraw or adapt the article,“ he said in the letter.
“This appeared to be an attempt by the BBC to distance itself from what had taken place and cover up the fact that it had initiated contact with the force about the story.
“This was misleading and was known by the BBC to be inaccurate.”
Lord Hall has insisted that BBC journalists “acted appropriately” in its coverage of the story.
A BBC spokesman said: “We have set out our position. The story was clearly in the public interest. The police complained specifically about an analysis piece on the BBC website and subsequently, and highly unusually, we confirmed that South Yorkshire Police was not the source of our story.”
South Yorkshire Police said a 73-year-old man had been spoken to in relation to an allegation of a sexual nature dating back to 1985.
Police said: “The man was interviewed under caution but was not arrested.
“He entered South Yorkshire Police premises by arrangement.”