Main contractor for the £30m project is George Downing Construction.
The accommodation will feature 310 cluster bedrooms and studio flats near to the developer’s West Village Accommodation Block on Beith Street.
It is due to open in September 2018.
Downing Students owns and operates more than 5,000 student beds across nine cities including London, Cambridge, Edinburgh and Newcastle.
The development is as yet unnamed. The Glasgow public has been asked to offer suggestions but Building McBuildingface would not be considered, the developer said.