Construction will start this spring at the west London site after the award under a two-stage tender.
The School of Public Health has been designed by Allies and Morrison and is will support leading research, education and community engagement in health and wellbeing.
The nine-storey building will provide nearly 58,000 sq ft of space and Graham will fit out all levels with the exception of the top floor which is shell and core only.
Rob Joyce, Director of Graham’s London office, said: “Imperial’s White City Campus is unprecedented in scale, ambition, and commitment, and we’re excited to bring this latest project forward under one construction programme.
“Once complete, the SPH will bring together research, education, and community engagement under one roof with accommodation designed to support academia at the highest possible level.”
The two-year construction programme is expected to complete in Spring 2023.