Known as the Print Hall, the £18m scheme comprises three towers, the tallest of which is 12 storeys, on Temple Way near Bristol Temple Meads station.
The development will provide accommodation for 241 students, and includes communal areas, amenity and leisure facilities, with new public realm and pedestrian routes through the site.
Work is scheduled to be complete in mid 2017.
Architect for the project is Russ Drage.
The scheme is being financed by Harmsworth Pension Funds Trustees.