A mentally-ill terror suspect from Batley will be extradited to the United States.
Judges have given Home Secretary Theresa May the go-ahead to extradite Haroon Aswat.
Earlier this year Mrs May was told to put plans on hold after judges said they wanted assurances from the United States government about the way Aswat would be cared for.
On Thursday, two judges said they were satisfied with assurances given by American officials, following a High Court hearing in London.
Lord Chief Justice Lord Thomas and Mr Justice Mitting said Aswat could be sent for trial in New York in accordance with arrangements made.
Aswat, who is thought to be in his late 30s - is wanted for allegedly conspiring with convicted terrorist Abu Hamza to establish a jihadi training camp in Oregon.
Hamza, who is in his 50s, was extradited from Britain to America nearly two years ago and found guilty of terrorism charges in May after a trial in New York. He has yet to be sentenced.
Judges were told that Aswat was suffering from paranoid schizophrenia and had been transferred from a prison to a psychiatric hospital in Britain.
Aswat's lawyers argued that he might suffer a relapse if held in an American jail pending any trial. And, at a High Court hearing in April, judges had said they wanted assurances about the way he would be treated.