The contractor has been appointed to design and build Muse Development's City Place office development near Chester's railway station.
The firm will construct the six-storey 70,000 sq ft office and is set to begin work this year.
The office block will be the first phase of Muse's City Place regeneration project, which will eventually see a new central business quarter created with 440,000 sq ft of office space on 3.5 acres of land between the railway station and the Shropshire Union Canal.
The office block will feature a large ground floor foyer and reception area topped with five upper office floors, each centred round a core area to provide flexible, multi-purpose spaces.
Construction of surface level and basement car parking will also be undertaken, along with external works including drainage and hard and soft landscaping.
The project will also be complemented with a new public realm, which will provide an open space for office workers and the public, and directly link Chester's railway station to the Shropshire Union Canal.
The architect on the scheme is RHWL, the structural engineer is Curtins Consulting and the quantity surveyor is Capita. GVA and CBRE are the letting agents.
The development firm expects to complete the first phase of the scheme by October 2015.
Phil Mayall, development director of Muse, said: "City Place is a bold move for Chester and represents the most significant new commercial office-led development the city has seen to date. The new building will form a key part of the new business community and unite state-of-the-art technology and 21st century design and architecture with the city's rich heritage."