London’s Metropolitan Police did not identify Brand but said in a statement that a man in his 40s attended a police station in south London for a second time on December 14.
“He was interviewed under caution by detectives in relation to a further six, non-recent, sexual offences,” police said.
British police do not name suspects who have not been arrested and charged.
The comedian, author and “Get Him To The Greek” actor has denied the allegations, saying his relationships were “always consensual.”
Two UK police forces, the Metropolitan Police and Thames Valley Police, launched investigations against Brand after the claims were published.
The BBC, where Brand worked on radio programs from 2006 to 2008, also launched a review into his behaviour.