Facebook said Robinson's page had "repeatedly broken these standards, posting material that uses dehumanising language and calls for violence targeted at Muslims".
Robinson, whose real name is Stephen Yaxley-Lennon, had amassed more than one million followers on Facebook, where he regular posts live videos and appeals for donations.
Robinson said he had not heard of his ban from Facebook, claiming the "corrupt media and the establishment" were trying "to silence any opposition to their globalist plans".
He added: "When putting me in prison and trying to kill me hasn't worked, when then trying to get mainstream documentaries to destroy my name with false allegations, that hasn't worked. Now, the establishment, which has gone for the plan of completely removing me from the public sphere - people will fight against this censorship, people will not like this censorship.
"You're not just censoring me, you're censoring the public's option of listening to what I have to say. This is a complete attack on free speech which is going on across the world."
Emails and tweets from Tommy Robinson were used as evidence in the trial of Darren Osborne, who was convicted of murder for driving a van into worshippers outside two mosques in London, to show his path of "radicalisation" before committing the attack in June 2017.
The ex-EDL leader's support boomed in 2018 after he was jailed for contempt of court for filming outside the trial of men later convicted of sexual abuse which was the subject of reporting restrictions.
Far-right groups from around the world rallied around Mr Robinson's cause, funding and organising rallies plagued by violence and describing his imprisonment as an issue of free speech.
He was released on procedural grounds in August and his case was referred to the attorney-general for review in October before he was named an adviser to Ukip one month later.
Ukip leader Gerard Batten said Mr Robinson's page was shut down for "BS reasons" and called for his Twitter followers to join the party.
"Simultaneously articles appear in the Guardian & Independent. The left's establishment are closing ranks & counter attacking," he added.
He was banned from Twitter in March 2018 and removed from PayPal in November. His last remaining official profile on a mainstream social network is YouTube, where he has nearly 300,000 subscribers.