Mr Justice Vos is due to hear cases brought by a list of 17 public figures, including former government minister Tessa Jowell, actress Sienna Miller and former footballer Paul Gascoigne, who all claim to have had their mobile phones hacked by journalists working at the paper.
The court orders relate to material seized from private investigator Glenn Mulcaire who, with News of the World royal correspondent Clive Goodman, was jailed in 2007, for hacking the mobile phones belonging to members of the royal family.
The joint hearing comes a week after the paper apologised to the public figures and News International admitting liability.
On Sunday the paper apologised to readers.
Yesterday saw the arrest of the third News of the World journalist this month.
Assistant news editor James Weatherup was arrested on suspicion of phone-hacking and questioned by detectives from the recently formed Specialist Crime Directorate team Operation Weeting, which was set up in January after the Metropolitan Police received "significant new information" prompting a new investigation.
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