The Government could still apply directly to the Supreme Court in a bid to take the case further.
The normal process is to submit a permission to appeal application which would then be considered by three Supreme Court justices.
They would decide whether or not the application raised a point of law of general public importance.
– Home Office spokesperson
We are disappointed with the Court of Appeal's decision but will now request permission to appeal directly from the Supreme Court.
The Government remains committed to deporting this dangerous man and we continue to work with the Jordanians to address the outstanding legal issues preventing deportation.