The project - one of three major university schemes Hopkins is currently designing in the US - is part of a wider move to create a new 'science neighbourhood' on the New Jersey campus.
The state-of-the-art research block will house 23,000m 2of laboratory and teaching facilities on the key gateway plot.
Project architect Mike Taylor said: 'We are delighted to be working at Princeton, where the quality of the working environment is still seen as crucially important to the pursuit of academic excellence.'
Hopkins' other projects are at Yale - a new carbon-neutral building for the university's school of forestry and environmental studies - and at the Northern Arizona University - where the practice is working on another laboratory block.
The concept images of the Princeton development will go on display at the Royal Academy Summer Exhibition, which opens next week.