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In a statement issued through the Conservative Party, Sir Irvine Patnick said:
Football Association chairman David Bernstein offered "a full and unreserved apology" to all those affected by the Hillsborough disaster.
The ground did not have a valid safety certificate at the time of the match.
Mr Bernstein said in a statement: "We are deeply sorry this tragedy occurred at a venue the FA selected.
"This fixture was played in the FA's own competition, and on behalf of the Football Association I offer a full and unreserved apology and express sincere condolences to all of the families of those who lost their lives and to everyone connected to the city of Liverpool and Liverpool Football Club."
Mayor of London Boris Johnson told ITV News he hopes the families of the 96 killed at Hillsborough "can take consolation from the clarity" of the independent report released yesterday.
The mayor added that "he apologised to the people of Liverpool" after an editorial article was published in The Spectator magazine when he was editor in 2004 that said fans were partly to blame for the disaster.
MPs are to be be given the chance to debate the report by the Hillsborough Independent Panel "as quickly as we possibly can", the Commons Leader Andrew Lansley has told the Commons.
It is expected to be scheduled either before recess or in the first week back after the party conferences next month.
The Government considered pulling the England football team out of the 1990 World Cup in the aftermath of the Hillsborough tragedy, official papers have revealed.
Former deputy Prime Minister Geoffrey Howe said the tournament, which was held in Italy, would provide a "natural focus for hooligan activity" and the withdrawal of England was discussed in a government committee.
In a letter to then-Prime Minister Margaret Thatcher on 27 September, 1989, Mr Howe said the idea was dropped because it was feared "determined hooligans" would head to Italy anyway.
BBC News' sports news correspondent Dan Roan has tweeted:
Margaret Aspinall, chairwoman of the Hillsborough Families Support Group, who lost her son James, 18, in the tragedy, said Mayor of London Boris Johnson's apology "doesn't mean a thing to me".
She said: "What he has got to understand is that we were speaking the truth for 23 years and apologies have only started to come today from them because of yesterday.
"It's too little, too late. It's fine to apologise afterwards. They just don't want their names in any more sleaze. No, his apology doesn't mean a thing to me."
Mayor of London Boris Johnson has apologised for comments he made on the Hillsborough disaster in a 2004 article in the Spectator.
Latest ITV News reports
Sisters Claire and Amy McGlone have long sought justice for their father Alan who was killed during the Hillsborough disaster in 1989.