The agency won the advertising account after a pitch against Rainey Kelly Campbell Roalfe/Y&R, Ogilvy and DDB.
The OMD group agency M2M has been hired to handle traditional media planning and buying for the magazine, while the Aegis-owned Vizeum has won the Wired brand's digital media task. Both agencies pitched for the business against undisclosed competitors.
Wired magazine and its accompanying website will launch in the UK with its May issue, which will go on sale on 2 April 2009.
Jamie Jouning, the publisher of Wired, said: "The creative ideas pitched to us for the Wired launch were extraordinarily clever.
"Reaching a final decision was tough but we are very happy that we will be working with Hurrell Moseley Dawson & Grimmer and to be working with M2M and Vizeum on the launch strategy for the Wired brand."
Nick Hurrell, a partner at Hurrell Moseley Dawson & Grimmer, said: "Which agency wouldn't be thrilled to be picked to launch the most hotly anticipated title for next year? Wired will be the magazine which brings the future closer, and the media business will be following its progress equally closely."
Stuart Newman, the managing partner, planning at Vizeum, said: "Wired is the leading authority on technology and tomorrow's trends, and, as such, Vizeum is thrilled to be helping Conde Nast launch this prestigious title through digital media."