The leaders of far-right party Britain First, Paul Golding and Jayda Fransen, have been arrested in Northern Ireland.
Fransen, 31, was flanked by a man who gestured towards cameras as she entered Laganside Courts in the city centre.
'I can indicate there will be not guilty pleas to both charges, ' he said.
The force said of Golding's arrest today: "Detectives investigating speeches made at the Northern Ireland Against Terrorism Rally on Sunday 6th August this year have arrested a 35 year old man today, Thursday, 14 December in the Belfast area".
Fransen posted a tweet showing her at a wall used to divide Catholic residents from Protestants in the city to prevent violence.
Dressed in a dark coat and skirt, Fransen spoke in court to confirm she understood the charges.
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Two leaders of a British far-right group that gained publicity when it was retweeted by U.S. President Donald Trump have been arrested for allegedly stirring up hatred.
The 31-year-old entered the dock at Belfast Magistrates' Court on Thursday.
Around a dozen people in the public gallery watched her appearance, which was adjourned until later on Thursday to hear a bail application.
"I have just been into court for my first hearing, they have applied for bail conditions which basically state I am not allowed to speak in public or use social media at all".
Ms Fransen, who gained worldwide notoriety after her Islamophobic tweets were shared by Donald Trump, claimed Mr Goulding was arrested on "trumped-up charges". The detective claimed that a "Free Speech for Jayda" rally was planned to take place in Belfast last weekend and was only postponed due to snow.
A detective constable said she could connect her to the alleged offences.