Afsor Ali, was sentenced to two years and seven months for possessing electronic files on how to participate in Jihad.
Judge Charles Wide said: "It's absolutely plain you are an extremist and you do support terrorism."
Ali was arrested while trying to board a Eurostar train to Paris in March.
He was found guilty of three counts of possessing information likely to be useful to a terrorist, on August 8, at the Old Bailey.
Ali was sentenced to 16 months for the passport offence and eight months for skipping bail to run concurrently.
Judge Wide said he had made a "really determined attempt" to evade justice.
Ali was first arrested in December 2011, when he took part in a protest against US drone attacks in Pakistan, alongside members of the banned group Muslims Against Crusades, outside the US embassy.
He was released without charge but a laptop and an external hard drive, seized by officers, was found to contain documents useful to terrorists, the court was told.
During the trial, prosecutor Oliver Glasgow told the court Ali had promoted extremism in YouTube videos, under the alias Asad Ullah.
In a 2011 clip, he warned viewers not to attend the royal wedding of William and Kate, the Duke and Duchess of Cambridge, because of a terror attack.
He also praised the 9/11 attacks as "an historic event", the court heard.
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