Greene Square is one of the 22 squares of Savannah, Georgia, United States. It is the easternmost square in the second row of the city's five rows of squares. The square is located on Houston Street and East President Street, and is south of Washington Square, east of Columbia Square and north of Crawford Square. 134 Houston Street, in the square's southeastern tything block, was built two years after the square's establishment, in 1801. Between 1899 and the mid-1900s it was the home of the Kate Baldwin Free Kindergarten. Green Palm Inn (two seamen's cottages, ca. 1897) is on the square.