Shillum's most recent full-time job was at Wieden & Kennedy Amsterdam, where he worked on Nike for three years. He left there in 2002 and moved to Goodby Silverstein & Partners in San Francisco, where he worked on the global rebranding of Hewlett Packard.
Shillum, 32, is neither a copywriter nor an art director - his background is in design.
He graduated from the Royal College of Art in 1997 with a Masters degree and went to work in The Hague for Studio Dunbar. He then returned to the UK to work on The Guardian's home title, Space.
Shillum replaces Stephen Butler, who left the agency to become a full-time artist after three years on the account. He will report into BBH's executive creative director, John O'Keeffe, and sit alongside the agency's other eight creative directors, including Rosie Arnold, Nick Gill and Nick Kidney.
O'Keeffe said: "The fashion business moves at a frantic pace. I believe Marc is one of the few people who can keep us that critical step ahead."
Levi's became one of BBH's founding clients 21 years ago. The agency now handles Levi's in Europe, Asia-Pacific and North America.
The brand is pushing its new 501 Anti-Fit jeans in the UK with an campaign that favours dialogue over a music track. The Anti-Fit campaign comprises three spots, all of which were shot in Los Angeles.
This latest campaign is the first for Levi's 501 brand since 1998. In the past five years, it has concentrated on launching new variants such as Sta-Prest and Engineered Jeans.
The Sta-Prest ads featured Flat Eric, while the campaign for Engineered Jeans showed a young man and woman running through walls.