Hundreds of people have gathered in George Square to "protect" the war memorial.
Headed by the Loyalist Defence League (LDL), the gathering is said to be in order to stop vandalism to the Glasgow Cenotaph, erected to commemorate the lives of those who died in the First World War.
A video posted on the LDL Twitter page called for people to "help protect each and every one of them that is under threat".
While the group has been kept to one side of the memorial, counter-protests have not arisen. A heavy police presence could be seen in the city centre.
It comes after Black Lives Matter protests and demonstrations took place in Glasgow and around the UK following the killing of George Floyd in Minneapolis last month when police officer Derek Chauvin kneeled on his neck for eight minutes and 46 seconds.
Some statues and war memorials have been vandalised around the country, including the Boer War memorial and Thomas Carlyle statue in Kelvingrove Park.
The LDL's Twitter video said: "Across the UK we have had far left thugs violently defacing our war memorials/cenotaphs.
"In some cases they've daubed graffiti upon the statues and even pulled them down.
"These war memorials and monuments have been built to remember and respect the many people who have paid the ultimate sacrifice in maintaining the very same liberties, justice and freedom that these thugs claim they're fighting for when in reality they are just using it as an excuse to riot, thieve and assault."