The square is named after Samuel Maverick, one of the earliest colonists of the Massachusetts Bay Colony.
[3] To encourage tourism, the Company built a wharf and the Maverick House, an 80-room luxury hotel (1835).
In 1840, the Cunard transatlantic mail service established its terminus at the East Boston wharf.
The waterfront became a hub of shipbuilding in the 1850's, with various industries and warehouses along the water's edge, while Maverick Square became the commercial and banking center.
The nearby Maverick public housing project – once a source of urban blight that gave the area the reputation as the most crime-ridden in the neighborhood – has been redeveloped by Trinity Financial and the East Boston Community Development Corporation.