The groups say the law would allow the public figures to obtain pre-publication injunctions. They have filed a case with the European court of human rights in Strasbourg against this law saying it would be a serious threat to press freedom in Europe, reports the Guardian.
This follows a case by Formula one boss Max Mosley, who demanded that journalists should be required by law to give at least two days' notice of their intention to expose the misbehaviour of a public figure so that the particular victim could obtain an injunction to stop the publication from going ahead.
Mosley has sued the News of the World for falsely accusing him of taking part in a "sick Nazi orgy". The Sunday tabloid had printed pictures and published video of Mosley indulging in a five-hour sadomasochistic sex session with prostitutes in a Chelsea apartment.
Mosley however won the case and the tabloid paid him £60,000. The damages are supposedly the highest in recent legal history in a privacy action.