The 13,400 m2 building will have two large lecture theatres that can be configured together as one 800-seater auditorium.
Construction is expected to start next year and architect HLM is the lead consultant on the project.
WSP Parsons Brinckerhoff was also awarded a contract to develop the university’s planned Research Hub on the adjacent 14 acres Western Campus Site.
John Cox, WSP’s building structures lead in Scotland, said: “Being successful in the bid to deliver multidisciplinary services to two major, world class projects for the University of Glasgow is phenomenal. It’s a major win for our business and reflects our growth and capabilities within the industry.”