The Scottish government’s Justice Secretary Neil Gray said there had been a “significant deployment” of police in order to contain the protest.
He said that while there had been disorder, it had been contained by officers.
He urged protesters not to resort to the “violence and thuggery that we have seen in similar protests in recent weeks”.
Gray continued: “I expect anybody who is carrying out the racist thuggery that we have seen previously on the streets of Glasgow to be treated robustly by the police, and for any kind of intimidation and other tactics that seek to divide our country to be met with the full force of the law.”
Where the anti-racism group were gathered, there was music playing including Abba’s dancing queen and some of the protestors made speeches.
They also waved placards with anti-racism messages. Others waved Palestine flags.
At one stage, the protesters tried to march but were turned back by police.
The anti-immigration protesters also played music, sang and chanted. Some also made speeches.
Many waved flags showing anti-immigration messages, while others had saltires or Lion Rampant flags. Some waved flares which released blue and white smoke.
Men wearing balaclavas were among the crowd.