The agency beat un-named agencies from France, Russia and the US to win the account, and will create a campaign to include TV, cinema and print.
The work will promote the entire portfolio of Standard Vodka brands, including Russian Standard "Original", "Gold" and "Platinum".
The first campaign, which is planned to break before the end of the year, will run in the US and across Europe, including in Russia and the UK.
Russian Standard Vodka is one of the world's fastest- growing vodka brands and is currently Russia's number- one premium vodka.
Preston Mendenhall, the director of communications for the brand, said: "My Agency has delivered the big advertising idea, and we are thrilled to bring the energy and excitement of My Agency's creative to our consumers."
Nick Wright, the My Agency managing partner, said: "This is an awesome win for us."