Buckingham is understood to have fought-off competition from Hall Construction, Henry Boot, Clugston and McLaughlin & Harvey to build the Frank Whittle Partnership designed stadium.
Scunthorpe United hope to move into the ground for the start of the 2016-17 season after being given the green light for the development by North Lincolnshire Council.
The stadium is part of a masterplan for a multi-million pound out-of-town football and leisure development created by FWP’s architecture and design team for the club on a site near its present Glanford Park ground.
The overall FWP plan also includes a 100-bed hotel, a multi-use indoor arena; community sports pitches and, potentially, indoor and outdoor bowling facilities.
The new home for the League One side will have club and executive facilities, a gym, office space and areas for commercial development as well as a club venue and supporters’ bar.
Peter Swann, chairman of Scunthorpe United, said: “We are delighted to have appointed Buckingham Group Contracting to build our new stadium.
“The group has a fantastic track record of working on and delivering major stadium developments and the appointment means that we have our team in place and are now ready to begin construction of our new home.“We cannot wait to get started on work to deliver something really special for our fans and for the community.”
Kevin Underwood, Partner and Director of Buckingham Group, said: “We are delighted to have secured this fantastic opportunity and are looking forward to work with the club and designers to deliver a superb stadium that the club and fans will be proud to call home.”
David Robinson, managing partner at FWP, added: “We are delighted to be working with the Buckingham Group once again on this plan to create a vibrant and modern development that will be a real asset to the community and the local economy.
“We have a strong track record of delivery working alongside the Buckingham Group which includes Leicester Tigers’ Welford Road redevelopment and the recently completed Gloucester Services on the M5.”