The deal is a collaboration with Bradford Metropolitan District Council and the Integrated Bradford Local Education Partnership.
Work has already commenced on these schools under early works agreements and is scheduled to be completed during 2009/2010.
The schools form part of Phase 2 of Bradford's BSF programme which focuses on 'inclusion' through the co-location of special schools within the mainstream education system.
Costain chief executive Andrew Wyllie said: “We are delighted to be awarded the next phase of this exciting BSF contract. Education is an important sector for Costain and this award reinforces our strategy to focus on repeat order work with key customers.”