Sefton Central Labour MP Bill Esterson is asking for the press reporting of the Hillsborough disaster to be included in the inquiry into the future of the media which the government set up this week.
The inquiry was announced in Parliament in light of the News of the World phone hacking scandal.
Bill Esterson said he wanted The Sun's treatment of Hillsborough tragedy to be included in the inquiry.
Bill said: "Relatives of those who died at Hillsborough suffered huge distress when they learned of the deaths of their loved ones.
"The Sun and News of the World heaped further distress on the families by the disgraceful reporting which followed. It is no accident that The Sun still has very low sales on Merseyside and that The News of The World sold few copies until it was closed down.
"People on Merseyside understood years ago about the unethical behaviour of some News International owned newspapers and it came as no surprise to my constituents when news broke about the hacking of Milly Dowler’s phone and about the hacking of the phones of families of dead service personnel.
"Such behaviour was a continuation of the disgraceful reporting and intrusion into the lives of bereaved families after the Hillsborough disaster.
"I have been contacted by constituents who want how Hillsborough was reported by The Sun to be included in this inquiry.
"Tabloid newspapers have caused distress to many people for many years from well before Hillsborough. I hope that the inquiry into the future of the media in this country looks at phone hacking but also I hope it looks at what happened after Hillsborough and at the way some tabloids behaved over many, many years."
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