Liverpool chairman Tom Werner today said "the world has heard the real truth" about the Hillsborough disaster.
The publication of the Hillsborough Independent Panel's report revealed South Yorkshire Police had sought to blame fans by instructing officers to change or amend their statements relating to the events of April 15, 1989, when 96 fans died.
British Prime Minister David Cameron apologised to the families of those affected, stressing to the House of Commons that the findings had shown fans were not at fault.
Werner said: "On behalf of myself, John (Henry, club owner) and everyone at the club, I would like to extend our thoughts and prayers on this hugely significant and deeply emotional day to everyone affected by the Hillsborough disaster.
"Today the world has heard the real truth about what happened at Hillsborough.
"As a football club, we will continue to remember those who died and support the families who lost loved ones on that terrible day.
"We hope that today's findings will give some comfort to the families and survivors and go some way to addressing some of the key questions that have hung over the Hillsborough tragedy for the last 23 years."
The club also welcomed the publication of the panel's findings.
A statement on the club's website read: "Liverpool commends the Hillsborough Independent Panel report which acknowledges the avoidable catastrophic failures before, during and after the disaster.
"The club also welcomes the Prime Minister's apology to the families and survivors on behalf of the Government and await the Attorney General's pending review of the report.
"After 23 long and painful years, our fans have finally been fully exonerated of all blame.
"Today, the world knows what we have always known, that Liverpool fans were not just innocent on that terrible day but that there was reprehensible and hurtful misrepresentation of the truth.
"Liverpool Football Club would like to thank the Hillsborough Independent Panel for its rigorous work over the past two-and-a-half years and for publishing a comprehensive report based on the in-depth research and analysis into hundreds of thousands of documents."
Managing director Ian Ayre admitted he was pleased the myth about fans' alleged involvement in causing the disaster had been exploded once and for all.
"It's vital because even in recent times we've seen people still stick to this myth that Liverpool fans were responsible for this tragedy," he said.
"They now know what we've known for 23 years, which is that Liverpool fans weren't responsible.
"We've exonerated ourselves and this report has exonerated them today. That's a vital ingredient in making progress.
"[David Cameron] used the phrase 'double injustice'. Not only for the fact these people died unnecessarily, but the fact a process ensued and dragged their names through the mud.
"A final admission from the Prime Minister that this was an injustice and that these things did happen - and that our fans and the victims were exonerated - was the most important part of his statement."
Ayre said it was, however, a day of mixed emotions for the families of the 96 and everyone involved with the club.
"Firstly [there is] sadness. Sadness that this whole tragedy was avoidable, and that even when it happened more could have been done to save lives," he told liverpoolfc.com.
"Secondly, anger. Anger at the cover up we now see, and knowing that our fans, the families and victims have been unnecessarily troubled for 23 years because of that.
"And thirdly, pride - because I think anyone connected to Liverpool Football Club can be proud, proud at what the families, our fans around the world and fans of other football clubs have contributed to what we have achieved today.
"The hard pressure and hard work that people put in, the dedication people put in, and the tireless efforts that delivered all that happened today - that gives us great pride as a football club."
Ayre also praised the tireless work of the families who campaigned long and hard for the truth to be heard and justice to be done.
"I don't think there is anybody who will see or hear about today's report that won't have huge admiration for the families," he added.
"They are an amazing bunch of people and anybody who is as fortunate as myself to have met them knows how much they have put into this.
"And it's not just about the families: our fans, and fans from other clubs, have campaigned to get this today for the families, the victims and the survivors - they all deserve their praise today.
"Whatever transpires we'll be there to support them as we have been throughout."
Liverpool captain Steven Gerrard, whose 10-year-old cousin Jon-Paul Gilhooley was among the Hillsborough dead, also added his voice to those welcoming the report's findings.
"The courage and dignity shown by the Hillsborough families and survivors is an example to all of us," the England captain said in a statement on the club's website.
"For 23 years they have fought for truth and justice on behalf of the victims and survivors of this terrible tragedy and all Liverpool supporters.
"Victims and survivors suffered not just on April 15, 1989 in Sheffield, but for over two decades afterwards with the shameful slandering of their actions by people who abused their position and power.
"Speaking as someone whose family directly suffered, I know the pain and hurt will remain.
"However, I hope that today's report helps bring some comfort, now that everyone knows what happened on that day."