The prime minister addressed three main issues in the report – failures by the authorities in protecting those at the ground, an attempt to blame Liverpool supporters and doubt cast on the original coroner’s inquest.
Here are a selection of the most moving posts about the disaster, which claimed the lives of 96 fans in April 1989.
Former Liverpool striker Neil Mellor (@NeilMellor33) is glad the truth has finally come out: “#JFT96 the truth at last. It should never have taken so long. 23 years is a disgrace from this country to get the truth. Huge courageous battle by Hillsborough families to keep fighting for the truth. Those 96 souls will never be forgotten. #YNWA”
Ex-Red Stan Collymore (@StanCollymore) will always remember attending the Hillsborough memorial days: “Sat on the Kop twice on memorial day as a player. I heard the names, saw the faces, met the families, something impossible to forget. #ynwa”
Marseille midfielder Joseph Barton (@Joey7Barton) pays credit to all those involved in the campaign for justice: “Everyone that signed the epetition. Anyone that ever voiced doubts over what the media told them or stood for the 96 and their families should be proud of themselves today. Be proud of what YOU have forced the government to do. Well done all involved. @HJC_Official #JFT96″
Former Republic of Ireland international Matt Holland (@mattholland8) is glad those who fought for the truth have been given justice: “23 long years but finally the fans have been exonerated. Really pleased for all those that fought so hard for the truth – now for justice.”
Ex-Liverpool captain Phil Thompson (@Phil_Thompson4): “To an awful lot of people now you understand why we couldn’t just get over it.”
England legend Gary Lineker (@GaryLineker) recalls when he heard the news: “Remember being in Barcelona watching the tragedy unfold. 23 years on we learn the truth. 23 YEARS!! A national disgrace!”
Jamaica striker Real jason_ euell (@jasoneuell) puts it succinctly: “The truth always comes to light. #JFT96″
Blackpool midfielder Gary Taylor-Fletcher (@GTF_12) is glad club rivalries have paled into insignificance: “Red or blue doesn’t matter. Today’s the day Liverpool families will get the answers they deserve! #JFT96 #YNWA”
Former Daily Mirror editor Piers Morgan (@piersmorgan): “This Hillsborough report is unbelievable – shocking, damning, disgraceful. Blameless Liverpool fans died who should still be alive. #JFT96″
And former Liverpool boss Kenny Dalglish, who was in charge of the Reds when the tragedy occurred: “Very positive outcome. 23 yrs waiting for the truth next step justice.”