Pippa, 33, had launched civil court action after her account was said to have been hacked and Scotland Yard arrested a 35-year-old man on suspicion of a 'Computer Misuse Act' offence on Saturday.
The injunction obtained at the High Court by Pippa and her fiance James Matthews, 40, blocks publication of the photos.
The allegations emerged after private pictures were reportedly offered to 'The Sun' via encrypted messaging service WhatsApp.
The photos included images of the Duchess Kate Middleton, her husband Prince William and the couple's children Prince George and Princess Charlotte.
Around 3,000 private photographs are believed to have been stolen and 'The Sun' said it had been approached by someone using a pseudonym and asking for 50,000 pounds within 48 hours.
Pippawas maid of honour when her sister Kate married Prince William in 2011.
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