Fison left Skanska in July last year after seven years of running the Swedish contractor's UK arm, and was last week confirmed as taking over Peter Mason's role on the London 2012 Olympic Delivery Authority board.
Fison, an ICE Fellow and director of the Major Contractors Group, will be based at Osborne's Reigate office.
"We are delighted that David has joined us," said Osborne chairman Simon Murray.
"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."