The agency replaces TBWA/Chiat/Day as the incumbent on the account, and has been briefed to create a new marketing campaign for the household products manufacturer, which will break early next year.
David Droga, the creative chairman of Droga5, said: "Method has built an amazing brand in such a short period of time; they're clearly destined for even further greatness."
Method is currently in the process of looking for a new chief executive, following the departure of Alastair Dorward in August.