Mr Harrison is the former president and chief executive of Assurant Solutions Europe and was also the chief executive of LSG Lifestyle Services Group.
During his career he has held senior leadership and board roles with Chubb insurance, Simplyhealth and GE Financial Insurance.
The society’s chairman, Colin Millar said: “The board is thrilled to have appointed Chris as chief executive.
"He brings a wealth of experience to the role which will help us to take the society forward in a rapidly changing market.
I should also like to thank Mike Kirsch who has done an outstanding job as interim chief executive, leaving the society in good shape for Chris to take over the reins.
Mr Harrison said: “I am very much looking forward to working with the board and a strong management team whose values I share. The Furness is committed to remaining an independent and mutual building society and I will support this ethos through the future growth of the business”
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