The Commons has approved a motion calling on the standards and privileges committee to investigate the alleged hacking of MPs' phones.
Sir George Young, leader of the House, said it was "quite right" for the committee to investigate when it was alleged that the privileges of the House had been breached.
The motion was proposed by Chris Bryant (Lab, Rhondda), following an investigation by the New York Times into the phone tapping activities of News of the World reporters.
In 2007 the Metropolitan police investigated the NotW's activities.
Two men, the paper's Royal correspondent Clive Goodman and Glenn Mulcaire, a private detective, were prosecuted for unlawfully intercepting the voice mail messages of senior members of the Royal household.
The NYT said journalists hacked the phones of hundreds of high-profile people, among them senior politicians.
Former NotW editor Andy Coulson resigned over the hacking scandal, though he has consistently denied he had any knowledge of the practice - he is now head of communications at 10 Downing St.
The NYT report showed that illegal activity was "pervasive", with more than 2,900 mobile numbers and more than 90 pin codes for voice mail being found in Mulcaire's premises.
On Monday Bryant told the House that he contacted the Met and found out that his number was on the list.
He then contacted his mobile phone provider who confirmed his phone had been "interfered with", yet he claimed that the police had done nothing about it.
Bryant told the House this afternoon that Labour, Lib Dem and Conservative MPs were targeted.
He condemned the police for not showing a duty of care to all those who were "persons of interest" to Mulcaire.
He called on the committee to make full use of its powers to summon and require witneses to attend its hearings.
A previous inquiry into the phone hacking allegations by the culture, media and sport committee was hampered by the refusal of some witnesses to give evidence.
Bryant reminded the House that it can issue warrants and require questions to be answered. He called on the House to be "far more carnivorous" on this issue.
He said the committee should find out how many MPs were targeted, whether the security services were informed and whether witnesses have lied to previous investigations.
Jack Dromey (Lab, Birmingham Erdington) said he hoped Downing St would fully co-operate with the investigation.
Tom Watson (Lab, West Bromwich East) claimed that at least three former senior cabinet ministers are concerned they were hacked.
He claimed there are "dark and mysterious forces" at work and suggested that Rupert Murdoch, owner of the NotW, should be compelled to testify.
Watson said MPs and even prime ministers are scared of the power of the press barons who "sneer at parliament", laugh at the law and traduce the reputations of the decent.
He said the hacking incidents are "the beginning of the end game" for unfettered press freedom.


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