Mr Cullen (pictured), who worked at Norwich City for 11 years before joining MK Dons six years ago, chaired the League’s Revenue & Attendance Working group for three years.
League chairman Greg Clarke said: “The experience and knowledge he has gained will make him a great addition.”
Mr Cullen said: “I acknowledge that the role is a privilege and has important responsibilities, and I will work hard to ensure that League 1 is both respected and properly represented, as well as making a positive contribution to the Football League on behalf of all our 72 clubs."
