After listening to 3 days of legal argument from the counsel of five defendants it has been decided that the radical cleric Abu Hamza and the other four men can be deported to the United States.
It brings to an end eight years of legal battles in both the domestic and European Courts. The two judges making today's ruling made it clear that this was the end of the appeal process.
They said that the Home Office now had the right to deport the men as soon as they wanted.
Giving their oral judgement Judge Sir John Thomas said that they were "wholly unpersuaded" by arguments that Abu Hamza was unfit to plead. They decided that if he ws suffering from a degenerative brains disease, "the sooner his trial could go ahead the better".
They said that all five claimants had exhausted the UK legal process "a long time ago" and that they had been given every opportunity to challenge decisions in the courts.
It was in the public interest that an efficient extradition system should be in place and they considered that these cases had "disfigured" that process by taking so long.