Trevor Hicks, Margaret Aspinall and Jenni Hicks have spoken of their delight at the decision to quash the inquest verdicts for the Hillsborough victims.
They said they now hope for an unlawfully killed verdict.
Speaking outside London's Royal Courts of Justice, Mr Hicks said: "Justice is on its way.
"Everything we've said has been proven to be correct."
The Hillsborough inquest verdicts of accidental death have been quashed by the High Court and a new police investigation has been announced.
Families of the Hillsborough victims are on their way to London for a historic hearing. They hope to hear the inquest verdicts overturned.
The police watchdog has begun consulting families for its independent investigation into the aftermath of the Hillsborough tragedy.