Washington accuses the Egyptian-born 54-year-old of supporting al Qaeda, aiding a kidnapping in Yemen and plotting to open a US training camp for militants.
Abu Hamza, who has a metal hook for a hand, also achieved notoriety for praising the September 11, 2001 attacks on the United States.
Judges at the High Court in London dismissed his request to delay the proceedings in order to allow him undergo more medical tests that his lawyers said would prove he was unfit to be extradited, clearing the way for an immediate handover.
"Extradition may proceed immediately," said Judge John Thomas. Four other suspects have also lost their appeals against extradition to the US.
Britain's Home Office (interior ministry) said in a statement after the judgment: "We welcome the Court's decision and are working to extradite these men as quickly as possible."
A crowd of about 100 people protested outside the court, shouting "Free Abu Hamza" and holding banners reading "Stop extraditions" and "democracy = hypocrisy."
Abu Hamza, who could be sent to an ultra-secure "Supermax" prison with a sentence of more than 100 years, has argued that he faces inhumane treatment in the United States.
The cleric was once a preacher at a North London mosque but was later convicted in Britain of inciting murder and racial hatred.
The decision caps a long legal battle, which saw him launch a fresh appeal at the High Court last week after the European Court of Human Rights rejected an earlier bid to avoid being sent to the United States.
Abu Hamza was jailed for seven years in Britain and has been fighting extradition since 2004.
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@unbeliever: "one-eyed, metal hand…………..seems to be quite a description of a pirate from ARABIAN NIGHTS."
Or Captain Hook from Peter Pan
I don't understand how a sane human support killings of innocent people such as that during 9/11. I also get surprised with support given by clerics in Pakistan to the killing of the American Ambassadors in Libya. These clerics are not even capable of being classified as human beings.
@Rameez: " ... people like him destroy image of Islam.. Hang him please ... "
Muslims need to be consistent in whatever they do. Until yesterday entire communities were rallying behind this person - and now in a volte-face everybody is saying "good riddance to bad rubbish".
one-eyed, metal hand..............seems to be quite a description of a pirate from ARABIAN NIGHTS.
people like him destroy image of Islam.. Hang him please
He can sit in a cell next to Omar Abdel-Rahman and they can reminisce about the good old days and their fear of dropping the soap bar while taking a shower.
He should have been extradited to US long ago. Such hypocrites have made life miserable for millions of hard working and peaceful Muslims in the West, making their loyalty doubtful.
A crowd of about 100 people protested outside the court, shouting “Free Abu Hamza” and holding banners reading “Stop extraditions” and “democracy = hypocrisy.”---I am damn sure they are not muslims !!! How can it happen in religion of peace ??
Why did Britain tolerate him for so long ??
His lawyers argued that he is too sick to be transported and tried across the pond but the judge was damn sure that he would get (to taste) his (own) medicine in the Uncle Sam's land! Now he will spend rest of his life reminiscing the good life in Dar al Harb with fellow inmate the Blind Sheikh!!
Now he will learn how to live peacefully in a civilized world. US will teach him a good lesson.
Good riddance from UK of venom spouting Islamists. They hate UK and spread hate filled propaganda, yet do not wish to leave UK, fighting extradition for years using every loophole in the book. At long last time has caught up with them and justice will be served to the five. Best news for months.