At least six people were arrested in George Square after a far-right group targeted a refugee poverty rally.
First Minister Nicola Sturgeon condemned the “racist thugs” and labelled the scenes “disgraceful”.
Bernard Higgins, Assistant Chief Constable, explained Police Scotland would offer a “robust response” to troublemakers “who continue to misbehave.”
Speaking at the Scottish Police Federation Mr Higgins said that police would not stand for attacks on police officers.
Mr Higgins said: “What we saw last night was people intent on hijacking a peaceful event and intent on violence and thuggery.”
“It is completely and utterly unacceptable and we will not tolerate these scenes any longer, including attacks both physical and verbal on the public and our officers.
“My message to those who have been involved in the disgraceful scenes witnessed over the last couple of weeks is that if you continue to behave like this, then be prepared to be arrested.”
Reports reveal that National Defence League supporters headed to the square as loyalists said they wanted to “make and stand” and “protect the Cenotaph.”
The Government has banned massive gatherings in an attempt to control the spread of the coronavirus.
Justice Secretary, Humza Yousaf, and Glasgow City Council leader Susan Aitken reinforced the message to troublemakers suggesting those who break the law would “face the full force of the law.”
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“We have no tolerance any longer.
“There is no place for it in Glasgow or anywhere else in Scotland.
“It doesn’t reflect the Scottish society in which we live.
“We’re working very closely with partners and with event organisers to ask what they want to achieve.
But if other people come out to hijack a peaceful event for other purposes then we will put in a very robust policing response.”
This comes after Prime Minister Boris Johnson claimed the UK had been “hijacked by extremists intent on violence.”
Mr Johnson criticised people who were considering attacking the Sir Winston Churchill statue as “absurd and shameful.”
He wrote: “We cannot now try to edit or censor our past.
“We cannot pretend to have a different history.
The statues in our cities and towns were put up by previous generations.”