The contract, which forms part of a wider £25m regeneration scheme, will see the firm build a primary school, neighbourhood centre, swimming pool and shopping space.
The scheme will be delivered in five phases, with the full project expected to be completed in the spring of 2012.
The new primary school will be completed first, and will open in autumn 2011.
Paul Smith, chief executive of Morgan Sindall Group, said: “We have considerable experience in successfully delivering complex, multi-element regeneration schemes of this nature and look forward to working closely with Knowsley Metropolitan Borough Council throughout the lifetime of this project.”