Choudary, 49, was arrested and charged over speeches that were posted on YouTube.
It is alleged by the prosecution that Choudary and Mohammed Rahman, 33, who is also on trial, contravened laws combatting terrorism. Both men have denied the charges.
A jury will now determine their guilt or innocence.
Both men were arrested on 25 September 2014 and were then bailed.
On 5 August last year they were charged with offences under terrorism legislation passed by parliament based on the speeches published on YouTube.
Choudary and Rahman deny the charges against them.
Source: The Guardian