Robinson, 36, from Luton, Bedfordshire, broadcast the footage while the jury in the second of a series of linked grooming trials was considering its verdict.
His sentence was made up of six months for the Leeds contempt, plus three months for an earlier contempt committed at Canterbury Crown Court in 2017.
Tommy Robinson with Katy Hopkins as he arrives for his sentencing at the Old Bailey in London.
His lawyer was forced to apologise when he arrived late for court.
Dame Victoria added: "Robinson can not be given credit for pleading guilty".
Some pelted police with bottles and cans and officers donned their helmets.
Robinson was jailed for 13 months in May 2018 after being found in contempt of court on the day of the broadcast.
Yaxley-Lennon, who uses the pseudonym Tommy Robinson, was arrested and jailed past year for potentially prejudicing a trial after the Facebook broadcast outside a trial of men accused of sexually abusing teenage girls.
They said these were "not credible" and that he had "quite deliberately" broadcasted on the case, telling his viewers that it was the subject of reporting restrictions.More news: Soccer team honored with symbolic key to NYC
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She said that the objective of sentencing for contempt was "punishment and deterrence of the contemnor", adding: "The court is also concerned to demonstrate its determination to uphold the rule of law". He was sentenced on Thursday.
Throughout the Old Bailey hearing last Thursday and Friday, Robinson denied any wrongdoing, saying he did not believe he was breaching reporting restrictions and only referred to information that was already in the public domain.
The video was eventually viewed 3.4 million times after being shared following his arrest.
Dozens of his supporters protested in central London, after he was imprisoned for nine months for contempt of court.
However, the restrictions had been in place to postpone publication of any details of the case until the end of all the trials, in order to ensure a fair trial of the 29 defendants.
"I would urge everyone to think carefully about whether their social media posts could amount to contempt of court".
The sentencing comes days after Mr Robinson appealed to US president Donald Trump to grant him political asylum.
Attorney-General Geoffrey Cox was given leave to relitigate the case, however, which he chose to do - resulting in Robinson being reconvicted, despite his defence team's arguments that his behaviour was "not materially different to the behaviour we see outside courts day in and day" from mainstream media reporters.