Bednash, who most recently worked at Mindshare Worldwide as a joint head of its Invention division, will work across Google+, search and mobile products.
He will work alongside Steve Vranakis, the executive creative director of Google Creative Lab.
It is thought that Bednash will also take responsibility for managing Google’s agency relationships, which include Bartle Bogle Hegarty, M&C Saatchi and Adam & Eve/DDB in the UK.
Google would not comment on the appointment.
Bednash, along with the other M&B founder George Michaelides, stepped down from Mindshare in September last year. They had worked at the agency since October 2008 after M&B was acquired for a nominal sum and rolled into Mindshare.
Last month, Google shifted its global Chrome advertising account from BBH to 72andSunny. BBH had worked on the business for four years and positioned Chrome as a tool to unlock human potential through the tagline: "The web is what you make of it."