Rutherford was CEO of Digitas Global for three years until July this year. Before that he was head of media at Unilever, having joined the FMCG giant in 1998.
Volume specialises in business-to-business brands, working on marketing strategy and execution. It was set up in 1997. Rutherford will concentrate on strengthening Volume's global client relationships and winning new business in the UK.
Rutherford said: "Understanding the role that digital plays, how to execute digital solutions, plus real-time tracking, intelligent reporting and digital interaction are key.
"Volume is world class in this area and the team has great ambitions to further build leading-edge capabilities."