Babar Ahmad, from Tooting, London, is challenging extradition to the United States, where he could be jailed for life.
Mr Ahmad, an IT helpdesk operator, was arrested in 2004 and has been held in maximum security prison units.
He denies allegations of running websites that urged Muslims to fight holy war and conspiring to raise funds for al-Qa’ida and the Taliban.
Mr Ahmad’s family said: “Our solicitors have prepared a fresh file of evidence to the Director of Public Prosecutions proving that the CPS should have prosecuted Babar in 2004. Over 100,000 members of the public now ask the DPP to confirm that he will conduct an urgent full review of this case so that Babar Ahmad can be put on trial in the UK.”
However, the level of signatures does not guarantee a debate and the process to bring the issue to Parliament is not thought to have begun.