In January, Europe's human rights judges ruled that Britain's most dangerous and notorious criminals could be kept behind bars for the rest of their lives.
The judges ruled that condemning people to die in jail was not "grossly disproportionate".
They said that each case London's High Court had "decided that an all-life tariff was required following a fair and detailed consideration".
That ruling will now be tested by the court's Grand Chamber after the appeal of Douglas Vinter, who stabbed his wife to death in 2008, was granted.
Vinter's appeal means the cases of Jeremy Bamber, who killed five family members in August 1985, and Peter Moore, who killed four gay men in 1995, will also be considered.