The London practice saw off stiff competition from Grimshaw, Sheppard Robson, Ian Ritchie Architects and R H Partnership to land the commission for a new botanic research building to be sited in the university's Botanic Gardens.
The building will house 120 researchers on a 6,000 m 2site made up of laboratories, plant-growth facilities, a lecture theatre, a library and social space.
Project architect Gavin Henderson said: 'The proposed new laboratory is an important scientific research project. We are committed to designing a building which will facilitate the work of the scientists, which makes an outstanding architectural contribution to the University.'
The scheme follows Stanton Williams's experience designing other scientific buildings, such as the Wellcome Trust Millennium Building and the Royal Botanic Garden's Seedbank project in Sussex.
The Cambridge building is being funded by the Gatsby Charitable Foundation, and will be a significant international centre.