The appointment follows the departure of Mark Reddy to McCann Erickson in May.
Tindall has worked at DDB for the past five years and, with his partner, Adam Tucker, has created campaigns across several accounts. His work includes "elepump" for Volkswagen and "lifeguard" for Marmite.
Tindall has featured heavily at the major print advertising awards and recently scooped three silver Pencils at D&AD. He has won golds at the Campaign Press Awards, Campaign Poster Awards, Cannes, the One Show and the Clios for his work for The Guardian, Harvey Nichols, Lurpak and Volkswagen.
Jeremy Craigen, the joint creative director at DDB London, said: "When we knew Mark Reddy was leaving there was no question as to who we would ask to replace him. Justin Tindall is his natural successor. With Adam Tucker, he has proved himself to be one of the best art directors in the country, if not the world. We are absolutely delighted he has agreed to become our new head of art."
Tindall added: "I feel excited and scared at the same time. Mark's shoes will be difficult to fill."
Before arriving at DDB in 1999, Tindall worked as an art director at FCA! where he, with Tucker, was best known for the through-the-line campaign for the Wales Tourist Board. This featured a filthy van with the words "clean air is just two hours away" written in graffiti in the dirt.