Former Skanska chief executive Mr Fison was appointed to the Olympic Delivery Authority board last week.
He was CEO of Skanska from 2002 until July 2008 and has previously held senior management positions at Balfour Beatty.
Osborne chairman Simon Murray said: “We are delighted that David has joined us. The construction industry is facing difficult times that will also bring opportunities for our company.
"David has the experience and the commitment to lead Osborne through this period and on to a successful future.”
Mr Fison is a Fellow of the Institution of Civil Engineers and was a founder member of the Movement for Innovation.