Dawn Bestwick, Mick Philpott's sister, told reporters waiting outside court that justice had been done for the children and they could now "rest in peace".
Andy Lyons, Paul Mosley's brother-in-law, said: "We don't have an eye for an eye. We're not a Third World country but the sentence is the best that the judge can give and makes England the greatest nation in the world."
Mick Philpott stuck two fingers up in court as the Judge told him he was a "disturbingly dangerous man" and would be sent to jail for life.
Speaking exclusively to ITV News, Dawn Bestwick said jail wasn't good enough for MIck Philpott and that "as a coward" he "deserved to die".
The judge has delayed her sentencing to "reflect further" on the trial Mick and Mairead Philpott and friend Paul Mosley.