Miller had already agreed to a £100,000 settlement in the phone-hacking case against News Group Newspapers and Glenn Mulcaire, the private investigator jailed in 2007 for conspiracy to intercept telephone calls in a separate case.
In a statement to court made by counsel for News Group Newspapers Michael Silverleaf, the company said it apologised for the damage and distress caused.
"The first defendant acknowledges that the information should never have been obtained in the manner it was, the private information should never have been published and that the first defendant has accepted liability for misuse of private information, breach of confidence and harassment."
Addressing the court Miller's counsel David Sherborne said the publication of private information in articles from 2005 and 2006 had been "extremely distressing" for the actor.
In today's statement following the settlement she was said to feel "fully vindicated".
In April News International admitted liability in a number of cases brought against the News of the World for phone hacking between 2004 and 2006.
In an announcement at the time the owner of the tabloid said it would make an "unreserved apology" to some of the claimants taking civil action against the title.
"This meant that News Group accepted that confidential and private information had been obtained by the unlawful access of the claimant's voicemail messages, that confidential and private information had been published as a result and that there had been an invasion of her privacy, breaches of confidence and a campaign of harassment for over 12 months", Sherborne added today.
According to the statement made at the High Court today, an injunction has also been granted "preventing any further unlawful accessing of the claimant's voicemail messages and publication of the claimant's private information".
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