Kier Northern, part of the Kier Group, has been awarded a £5.73m contract for the design and construction of Rose Hill Primary School in Stockport.
Kier Northern was appointed by Stockport Council and Stockport-based NPS Group to carry out the work which is being funded by the primary capital programme, an initiative introduced by the previous Government.
Rose Hill has operated on two sites since September 2009 and the new school building at Rose Hill will open in 2012.
The new build, designed by architect Daniel Gibbons from NPS, will replace an existing school building on the Elmfield Drive site in Marple, which the council said is over 40 years old and in poor condition.
Lynn Bragg, headteacher at Rose Hill Primary School, said: "The building will help transform the school and allow us to offer children an enhanced educational experience."
Kier Northern formerly operated as Kier North West and has offices in Liverpool and Manchester, Wrexham, Sheffield and West Yorkshire.