Madison Square is one of the 22 squares of Savannah, Georgia, United States. It is located in the fourth row of the city's five rows of squares, on Bull Street and Macon Street, and was laid out in 1837. It is south of Chippewa Square, west of Lafayette Square, north of Monterey Square and east of Pulaski Square. The square is named for James Madison, fourth president of the United States. The oldest building on the square is the Sorrel–Weed House, at 6 West Harris Street, which dates to 1840.

In the center of the square is the William Jasper Monument, an 1888 work by Alexander Doyle memorializing Sergeant William Jasper, a soldier in the siege of Savannah who, though mortally wounded, recovered his company's banner. Savannahians sometimes refer to this as Jasper Square, in honor of Jasper's statue.

Madison Square features a vintage cannon from the Savannah Armory. These now mark the starting points of the first highways in Georgia, the Ogeechee Road, leading to Darien, and the Augusta Road.

The square also includes a monument marking the center of the British resistance during the siege.