BAM beat Interserve, Vinci and Galliford Try to take the project with a £19.7m bid.
The new teaching block on Cloberry Street forms phase three of the Business School’s expansion plans.
It includes technology-rich, flexible teaching spaces, lecture theatres, a new Trading Room to provide more flexible and innovative of teaching.
Designed by architects DLA, the new building will sit adjacent to a row of listed terraced properties within a conservation area.
Main construction is scheduled to start work in November, and completion is anticipated to be Autumn 2021.