The Met Police are investigating claims the paper hacked into the messages of public figures between 2005 and 2006, reports BBC News.
The Met Police's Operation Weeting is investigating claims that staff at News International's News of the World newspaper had hacked into the phone messages of celebrities and other public figures from 2005 to 2006.
BBC home affairs correspondent Tom Symonds said: "Ryan Giggs is a well-known figure and will have been of major interest to the tabloid newspapers.
"It was probably only a matter of time before the police got round to him and said, 'We've looked at the evidence, got lots of documents seized by the police, and your name is in there.'
"That's probably what's happened and now he will go away and seek legal action."