- The court says the suspects can be extradited to the U.S.
- "I welcome the decision," said British Home Secretary Theresa May
- The suspects were arrested and have been fighting extradition for years
(CNN) -- The European Court of Human Rights ruled against five terror suspects Tuesday saying that they can be extradited to America despite their claims that they will be poorly treated.
The court ruled that the suspects would not get "ill treatment" in super-maximum security prisons if they are extradited to the United States and convicted in American courts, according to a statement from the European Court of Human Rights.
The court still needs to make a decision on one other suspect connected to the case.
The ruling adds another chapter to the long-running legal battle that started when the six suspects where indicted by the United States between the years of 1999 and 2006. The suspects were all arrested in the United Kingdom and have been fighting extradition to the United States for years.
Several of the suspects were alleged to have links to the late Osama bin Laden, the European Court of Human Rights said.
One of the suspects, Mustafa Kamal Mustafa, who also is known as Abu Hamza, is wanted by the United States on 11 charges, including conspiracy in connection with a 1998 kidnapping in Yemen and conspiring with others to establish an Islamic jihad, or holy war, training camp in rural Oregon in 1999.
British Home Secretary Theresa May applauded the court ruling.
"I welcome the decision of the European Court of Human Rights to allow the extradition of Abu Hamza and other terror suspects," May said. "In five of the six cases, the Court found that extradition would not breach their human rights and in the remaining case, it asked for further information before taking a final decision. We will work to ensure that the suspects are handed over to the U.S. authorities as quickly as possible."
Another of the suspects is Babar Ahmad who is accused of providing material support to terrorists, conspiracy and money laundering. If convicted, he could face a life prison sentence.
The indictment against Ahmad accuses him of conspiring to provide support to terrorists, including helping to ship gas masks to the Taliban and using U.S.-based websites to raise money for Chechen leader Shamil Basayev.
Basayev claimed responsibility for the 2004 Beslan school massacre in Russia. He was killed two years later by Russian agents.
Ahmad's family said they were "disappointed" in the decision.
"Babar has already been imprisoned without a trial for almost eight years, something he described in his recent interview to BBC as 'the most unimaginable type of psychological torture.'" a family statement said.
The other suspects were identified as Haroon Rashid Aswat, Syed Tahla Ahsan, Adel Abdul Bary and Khaled Al-Fawwaz.
The court delayed a decision Aswat's case.
CNN's Claudia Rebaza contributed to this report.
