Reporting to Jim Thornton, Burnett's executive creative director, Beverley will work across the agency's client list. He will start work at Burnett on 1 November.
Beverley spent the past 11 years at Leagas Delaney, where he was made a creative director in 2000. He worked on accounts including Adidas, Barclays, Porsche, Hyundai, The Guardian and Nationwide Building Society and has won Cannes gold and silver Lions for his work on Barclays and Adidas.
Beverley has also had stints at Saatchi & Saatchi, where he began his career in 1990, and at Horner Collis Kirvan.
Thornton said: "We're a grown-up agency with a lot of very grown-up clients who expect us to give them the best brains in the industry, and Dave is certainly one of those. It is rare to find everything you're looking for in one person, but in Dave we've found a fantastic art director, thinker and writer, who is driven by a fascination for clients' businesses and their problems. I'm so happy to have found him, I'm almost skipping with delight."
Beverley added: "It wasn't an easy decision to leave Leagas Delaney after 11 great years, but, after listening to what Jim wants to achieve here, it was something I wanted to be a part of."