The news was revealed at a government construction summit today by cabinet secretary Francis Maude.
The job is one of several BIM level two projects being trialled by the MOJ. The others are at Chelmsford Prison, Oakwood Featherstone Prison, and Aberystwyth Law Court.
The government plans to establish 13 regional BIM hubs as part of its efforts to mandate BIM on projects by 2016.
Interserve was awarded the Cookham Wood project ahead of Wates and Kier.
Maude said: “The winning contractor Interserve has committed to fully using BIM to provide a facility that has improved quality and value for the client.
“The Ministry of Justice’s positive experience in introducing BIM, and suppliers’ willingness to engage, has resulted in the department already issuing a further three projects out to tender using BIM – an illustration that the challenges laid down in the Construction Strategy are achievable.
“We have mandated 3D collaborative BIM on all appropriate centrally-procured projects by 2016.
“This whole sector approach to BIM will see the UK as the world leader in a new digitally built era, offering new ways of working, as well as massive growth potential both at home and abroad.”