Wood will lead the firm's 25-strong PR division that handles clients such as Orange, Nintendo, PG Tips, Carling and this weekend's V Festival.
He joins next Monday, having spent the past few weeks on gardening leave from Communique.
Prior to Communique, Wood had a five-month stint at Four Communications.
Before that he held director roles at Countrywide Porter Novelli and Ketchum Life.
Wood reports to Cake CEO Mike Mathieson, who he said called 'out of the blue' to sound him out for the job four months ago.
He effectively replaces Jim Dowling, who quit earlier this year to become regional director of planning and strategy at Ogilvy PR Worldwide in Asia-Pacific. Dowling's job title at Cake was planning director.
The hire comes as Cake - which has 65 staff overall - launches a further sub-division for 'mobile marketing'. Other divisions handle live events, design, online and sampling work.
Wood joined Communique two years ago to set up a London office for the Manchester-headquartered firm. The office, located in sister firm Burson-Marsteller's UK HQ, now has around eight staff and works for clients such as Minute Maid, Compass Group, Accenture and Emap.
Wood said: 'What really excites me about Cake is that the agency delivers truly integrated campaigns.'