The Publicis Groupe-backed agency beat Omnicom's Goodby, Silverstein & Partners in San Francisco to scoop the account.
Dyson dropped Minneapolis-based Fallon before the pitch in June. Fallon had held the account since 2002. Both companies said the split was a mutual decision.
The decision will not affect Vallance Carruthers Coleman Priest, which handles the account in the UK.
In March, VCCP created Dyson's biggest ad campaign to date for its revolutionary 拢350 vacuum cleaner, known as The Ball.
The ad showed the eponymous ball twisting and turning across the screenbreaks in two phases with a teaser campaign followed by a full, 30-second spot revealing the whole cleaner.
Ads from Fallon have included company founder James Dyson discussing his invention for the world's first vacuum cleaner that "doesn't lose suction".
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