The Custom House Tower is a skyscraper in McKinley Square, in the Financial District of Boston, Massachusetts. The original building, the Custom House, was constructed between 1837 and 1847 and was designed by Ammi Burnham Young in the Greek Revival style. The tower was designed by Peabody and Stearns and was added between 191…The Custom House Tower is a skyscraper in McKinley Square, in the Financial District of Boston, Massachusetts. The original building, the Custom House, was constructed between 1837 and 1847 and was designed by Ammi Burnham Young in the Greek Revival style. The tower was designed by Peabody and Stearns and was added between 1913 and 1915. The building is part of the Custom House District, which was added to the National Register of Historic Places in 1973.