The £10m college, sponsored by Cambridge Regional College and Cambridge University Health Partners, will open in September 2014 as a specialist science college for 14- to 19-year-olds.
BAM will build a three-storey building for the UTC, next door to the £175m Laboratory of Molecular Biology (LMB) that it completed last year.
The school will have five super labs on the top floor, with three capable of joining together to emulate large-scale research conditions.
Sustainability features will include a combined heat and power plant to provide low-carbon energy; photovoltaic cells; and gravel beds to control rainwater run-off.
BAM construction director Adam Harding said: “It is fantastic to be back building science facilities in Cambridge after the completion of the world-class LMB project.”
BAM’s design arm work with architect Hawkins Brown on structural design and fit-out design.