He has previous experience working with brands in sectors such as automotive, finance and luxury fashion. Turner worked with McCann for 18 years before moving to Drp.
Dale Parmenter, group chief executive at Drp, said: "Carl will head up a team of extremely talented creative and strategic specialists all dedicated to really understanding and getting to know a brand, including its USPs, culture and values, before delivering the most appropriate and creative solution."
The agency recently celebrated its 35th anniversary at a party held in West Midlands Safari Park.
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