The 29-year-old actress was not at London’s High Court for the brief hearing.
Her counsel, David Sherborne, told Mr Justice Vos that, in 2005 and 2006, she was the subject of numerous articles which contained “intrusive and private information”.
As well as the damages and her legal costs, Miller was granted an injunction preventing any further unlawful accessing of her voicemail and publication of her private information.
The order also provided for disclosure of information about the extent of the activities and expressly allows her to come back to court in the light of any new material.
In April this year, News Group Newspapers made an unconditional admission of liability.
News Group’s counsel, Michael Silverleaf QC, offered its “sincere apologies” to Miller for the damage and distress caused.