Andrew Mountbatten-Windsor has been arrested at his eastern England home.
The UK's Telegraph newspaper says British police had arrived at the residence of Mountbatten-Windsor in eastern England.
Six unmarked police cars and about eight plain-clothes officers were seen arriving at Wood Farm on the Sandringham estate.
Thames Valley Police earlier said they were looking at allegations that Mountbatten-Windsor had passed confidential government documents to the late sex offender Jeffrey Epstein, according to recently released files.
Mountbatten-Windsor has denied any wrongdoing and said he regrets his friendship with Epstein, but he has not responded to specific requests for comment after the latest files were published by the US government.