George Roberts, who represented the city's Hillhead Ward, passed away on Monday at Gartnavel Hospital after a short battle with cancer.
It is believed the SNP councillor was diagnosed with bowel cancer last month.
Colleagues, friends and community members expressed shock at his sudden death.
SNP Leader of the Opposition Councillor Allison Hunter said he would be "sorely missed".
She said: "George was highly regarded across the council, regardless of party.
"His wry humour often brought a lighter mood to sometimes difficult matters in council."
"The thoughts of our members are with George's family at this most difficult time".
Lord Provost, Councillor Bob Winter, said Mr Roberts "cared deeply" for his constituents.
Born in Belfast in 1942, Mr Roberts graduated in civil engineering from the University of Strathclyde before going on to work across the world on a number of major construction projects.
Mr Roberts was elected to the Hillhead Ward in May 2007.
He is survived by his wife, Sheila, and their son Ewan.