Construction of the seven-storey 16,640 sq m James McCune Smith Learning Hub has been ongoing since 2017.
The building will accommodate over 2,500 students.
York-based SES used its offsite manufacturing facility Prism for the project.
Steve Joyce, managing director of SES, said: “SES has an enviable reputation for delivering projects of this type and we were delighted to be given this opportunity to work with Multiplex on a building which marks a significant amount of investment for the University of Glasgow.
"Despite the challenges of the original build programme, which were then compounded by the arrival of the Coronavirus pandemic, the project team has risen to the challenge to deliver this landmark building."
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