The FA selected Hillsborough as the venue for the FA Cup semi-final that witnessed the death of 96 Liverpool supporters, despite the stadium not possessing a valid safety certificate.
In a parliamentary debate in the comments, Labour MP Steve Rotherham said the governing body must now face intense scrutiny over its role in the tragedy.
"They (the FA) knew that Hillsborough didn't have a valid safety certificate, yet they were still adamant the game had to be played at that stadium," he said.
"If they had not insisted that the game had to be played there, the fans that died would still be alive.
"They must now face the full force of the law for their deadly decisions that they made at that time."
Attorney General Dominic Grieve revealed last week that he will apply to the High Court for fresh inquests into the deaths of the 96 Liverpool supporters. An original inquest returned a verdict of accidental death.
In the wake of the Hillsborough Independent Panel's damning report into the emergency services' response to the events of April 15, 1989, and a subsequent alleged cover-up by South Yorkshire Police, the Independent Police Complaints Commission has also launched Britain's biggest ever investigation into police conduct.
Labour MP Andy Burnham said during Monday's debate that the role of the FA must also be investigated.
"The hirer of Hillsborough and its owner both had a duty of care, a basic responsibility to ensure a semi-final venue had an up-to-date safety certificate," he told the House of Commons.
"That failure, in my view, was grossly negligent as was the failure to act on warnings and complaints.
"It is why families rightly can't accept this was accidental and why football must be forced to face up to its responsibilities in the inquiries to come."