The couple were among six people arrested early on Tuesday morning (March 13) on suspicion of perverting the course of justice. They were questioned by detectives from Operation Weeting, which is the investigation into allegations of phone hacking at the News of the World.
Scotland Yard has confirmed that all six have now been released on police bail until next month.
None of those arrested this morning have been charged with any offences.
The other people arrested today include a 39-year-old man held in Hampshire; a 46-year-old man arrested in West London; a 38-year-old man arrested in Hertfordshire, and a 48-year-old man arrested at a business address in East London.
News International confirmed that its head of security Mark Hanna was one of those arrested.
Former News International chief executive Brooks was arrested in July 2011 and questioned on suspicion of phone hacking and making payments to police.
She was bailed the same day, and was not charged with any offences on that occasion.
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