Sitting at a desk and reading from a piece of paper, the figure says the group will track down and close all accounts on social networks related to terrorists to avenge those killed.
In it they wrote: 'Freedom of expression has suffered inhuman assault ... It is our duty to react ... We wish to express our condolences to the families of the victims of this cowardly and despicable act.'
They added: 'We will fight always and everywhere the enemies of freedom of expression ... Freedom of expression and opinion is a non-negotiable thing. To tackle it is to attack democracy.
'Expect a massive frontal reaction from us because the struggle for the defense of those freedoms is the foundation of our movement.'
Anonymous has previously carried out cyber attacks on websites belonging to the Government, as well as those of corporate and religious organisations.
In 2012 Anonymous crippled the Home Office's website by flooding it with huge amounts of internet traffic.
When I first saw 'avenge' I thought they were gonna blow up some other innocents
But what they are doing is the actually right thing, closing down all those terrorism related accounts will lead to less people joining those terrorist organisations
Hopefully these are the ones who actually know what they're doing.
There's a decent amount of anonymous members who are amateurs and swear they're always right.