The deal brings work secured by BAM’s Leeds office in recent weeks to £100m.
Under the agreement, BAM will create a sixth form centre in the heart of the Yorkshire town, as well as a construction centre on the College’s Honeywell campus.
Four storeys high, the sixth form centre will house a mixture of classrooms and lecture theatres on the former site of empty shops and a council library, which has been relocated.
The two-storey construction centre will teach traditional trades such as brickwork, plumbing and decorating, together with new green technology skills.
Aiming for Excellent ratings through environmental initiative BREEAM, the projects will both feature air source heat pumps and photovoltaic cells.
Building work starts in July, with completion and handover by September 2015.
BAM construction director John Phillips said: “The Construction Centre in particular is close to our hearts, and we will be creating building works within the building to allow practical lessons and demonstrations in the future.
“BAM will be working as always to ensure our work benefits the local environment and economy as well as the end users.”