The proposals, designed by Heneghan Peng, include a new campus library, a School of Architecture and Construction and other facilities such as TV studios and editing suites.
This will allow more of the university’s activities to be based in Greenwich, alongside its main campus in the Old Royal Naval College. Greenwich Village market closed in 2009 to make way for the development.
Alan Baxter Associates is the structural and civils consultants, with QS and project management being handled by Fanshawe.
The university’s Vice-Chancellor, Baroness Blackstone, said: “The high quality design of the new university building will greatly enhance the town centre.
“With some facilities and services open to local people and organisations, it will add to the creative and cultural energy of Greenwich and benefit our wider community.”
University chiefs say the building will bring in 1,800 more students and employ 70 staff.