Double murderer David Oakes will never be released from prison.
His case was heard in London today.
The Court of Appeal refused to quash the whole-life order in the case of killer who "sadistically tortured" his former partner before shooting her and their two-year-old daughter.
The panel, headed by Lord Chief Justice Lord Judge, also upheld the 30-year minimum term imposed on Kiaran Stapleton, who was jailed for life after he "executed" a stranger in the street.
Although the judges overturned the whole-life orders in the cases of Danilo Restivo and Michael Roberts, they announced that the imposition of such orders was not incompatible with Article 3 of the European Convention of Human Rights, which prohibits torture and inhuman or degrading treatment and punishment.
Murderer Danilo Restivo had his "whole-life" tariff overturned by the Court of Appeal.
He was ordered to serve a minimum term of 40 years instead.
Five judges in London also announced that they were reducing the whole-life order imposed on "Bermondsey Beast" rapist Michael Roberts to a minimum term of 25 years.
The appellants are all still subject to life sentences. Those with a minimum term can apply for parole once that has expired, but they would not be released until they are deemed to no longer pose a threat to the public.
Lord Judge said he thought it was "highly unlikely" that any of the five would be released.