Local contractors will have the opportunity to bid for tenders on the scheme, which will involve around 60 to 70 people working on site.
Work will start on the building later this month and is expected to be completed early in 2013.
The development is designed be a key project for the Wisbech community, with a high degree of local involvement.
The scheme involves the creation of a new technology block and engineering training centre for the College of West Anglia, and new offices for Cambridgeshire County Council.
The projects form part of a £35m investment in the campus and will allow students to study in bespoke facilities, with special features such as garages with rolling road systems, creating a real world learning environment.
Bob Ensch, area director for Morgan Sindall, said: “The College of West Anglia development is ambitious and forward thinking.
“The upgraded campus will bring genuine benefits to its students and the local community.
“It has an important role to play in the region, giving young people in and around Wisbech the opportunity to develop their skills in key occupational areas, such as engineering, thereby increasing their chances of gaining employment in this challenging economic climate.”
Cambridgeshire County Council is investing £5m in the technology block and £6.5m in the new county offices building, which will allow the council to have a visible presence in Wisbech, with around 240 staff operating from the purpose-built space.
Both buildings are expected to achieve a BREEAM rating of Very Good, and will include new biomass heating systems which burn either gas or wood chips from waste wood.