Vale of Glamorgan Council picked the firm through the South East and Mid Wales Collaborative Construction Framework – SEWSCAP.
The 1,100 pupil new build will replace the existing Whitmore High School, which will remain open during construction before being demolished.
Teaching space at the new Whitmore will be spread across three storeys, with 70 general classrooms and two drama and activity studios.
Sporting facilities include an all-weather pitch and multi-use games court.
A central courtyard has been designated for used for group learning and informal use.
There will also be a music studio, an art learning resource centre, multi-functional hall with retractable seating and a large dining area.
The building, which has been designed by Atkins, is targeting a BREEAM Excellent rating with sustainability an important part of the local authority’s brief.
Work will complete by spring 2022.
Rob Williams, area director at Morgan Sindall Construction, said: “By using the SEWSCAP framework, Vale of Glamorgan Council has benefited from an efficient and reliable procurement process, reducing the time from planning to delivery considerably.”