Politicians expressed their condolences to relatives of the dead and injured.
Glasgow City Council leader Gordon Matheson said: "This is a terrible tragedy and our thoughts and prayers are with all those affected, particularly the families of those who have lost their lives.
"My priority now is to do what we can to support everyone involved and to give every assistance to the police and other emergency services as they investigate this incident and care for those who are injured."
First Minister Nicola Sturgeon said: "My thoughts with everyone involved in dreadful George Square incident. If you are in city centre, please let your relatives know you are OK."
Her predecessor, Alex Salmond, added: "Thoughts & prayers with all those caught up with tragic accident in Glasgow."
Prime Minister David Cameron said: "I'm being kept fully briefed on the major incident in Glasgow. My thoughts are with the families of those involved and the emergency services."
Labour leader Ed Miliband said: "Terrible news from Glasgow - my thoughts are with all those affected by this horrific accident."
Comedian Hardeep Singh Kohli tweeted: "Poor Glasgow. #love"
TV presenter Philip Schofield tweeted: "OMG, just catching up to on the news. Thinking of everyone caught up in today's terrible accident in Glasgow #GeorgeSquare"
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