Officers from Scotland Yard's extradition unit handed the men to US marshals at RAF Mildenhall in Suffolk.
A police convoy brought the suspects from Long Lartin prison in Worcestershire to Suffolk at 19:15 BST.
High Court judges earlier dismissed the men's final appeal against extradition to the US to face terror charges.
They said the five men, Abu Hamza, Babar Ahmad, Syed Talha Ahsan, Adel Abdul Bary and Khaled al-Fawwaz, did not show "new and compelling" reasons to stay in the UK.
A Home Office spokesman said the government was "working to extradite these men as quickly as possible".
The BBC understands a US Department of Justice-owned Gulfstream jet has been on the tarmac at the base since Tuesday, having flown in from Washington.
A second civilian plane, a Dassault Falcon 900, flew into the airbase in the early hours of Friday morning from Westchester County in New York state.
The High Court ruling on Friday afternoon brought to an end a long-running legal battle. The men's extradition requests were submitted between 1998 and 2006, between eight and 14 years ago.
The suspects final appeal came after the European Court of Human Rights agreed with successive UK courts, that they should face extradition.
Judges Sir John Thomas and Mr Justice Ousley said in their ruling that there was an "overwhelming public interest in the functioning of the extradition system" and that there was "no appeal from our decision".
Sir John added that there was little doubt each man had, over the years, "either taken or had the opportunity to take every conceivable point to prevent his extradition to the United States".
Their written ruling, read out in court, concluded that "each of the claimants' applications for permission to apply for judicial review or for a reopening of the statutory appeals be dismissed".
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