The planned scope of the £30m works programme includes building a three-storey emergency department containing the new A&E department, wards and admin space.
All associated demolition and connection works to the existing hospital will be undertaken, which includes a link to the existing heart and lung building.
Work will be carried out in phased sections to ensure access to the hospital and the heart and lung building will be maintained at all times with minimal disruption and Kier will make sure hospital functions are unaffected.
Kier Construction director, David Sizer, said: “We have successfully completed over 100 projects through the P21+ framework to date and we are confident that, by working collaboratively with the Trust, we can deliver excellent new healthcare facilities for Wolverhampton.”
Kier will start on site in June with a planned opening date of November 2015.