The account was previously held by Omnicom agency Prometheus, with Universal McCann and digital agency Avenue A/Razorfish also pitching for the work.
Starcom, part of Publicis Groupe, will run the business from its Chicago office and work with creative agency BBDO, Hill Holliday on the account. It is handling offline and online media planning and buying for the bank.
Anne Finucane, chief marketing officer at the Bank of America, said: "The rapidly changing media landscape demands and enables big changes in marketing. Starcom offers the kind of experience, thought leadership, innovation and integration required for us to succeed in this dynamic marketplace and continue to grow one of the most recognised financial services brands in the world."