Brandon is a city in Minnehaha County, South Dakota, United States. Brandon is located five miles east of Sioux Falls. The population was …Brandon is a city in Minnehaha County, South Dakota, United States. Brandon is located five miles east of Sioux Falls. The population was 11,048 as of the 2020 census. A post office called Brandon has been in operation since 1878. The city took its name from Brandon Township.