Located on the site of the former Western Infirmary, the scheme is expected to be completed in 2021.
According to the University, the hub is designed to be a vibrant, collaborative facility at the heart of its western campus. It will host over 600 academics, postdoctoral researchers and PhD students working across five broad research themes.
The ground floor will be publically accessible, offering spaces for public engagement events and exhibitions as well as a café.
The building was designed by HOK architects and will be constructed by Multiplex.
Professor Sir Anton Muscatelli, Principal and Vice-Chancellor, University of Glasgow, said: “We are delighted to have received planning consent to begin construction on the research hub.
“This represents a landmark moment in our £1 billion campus development programme.
“Upon completion, this building will offer a unique facility to support the University’s world-class research, as well as providing a welcoming and accessible hub for knowledge exchange and public engagement.”