Hot Springs, city, seat (1882) of Fall River county, southwestern South Dakota, U.S. It lies along the Fall River in a canyon walled by red rocks, in the southern Black Hills, about 50 miles (80 km) south of Rapid City. Sioux and Cheyenne Indians were once frequent visitors to th… Hot Springs, city, seat (1882) of Fall River county, southwestern South Dakota, U.S. It lies along the Fall River in a canyon walled by red rocks, in the southern Black Hills, about 50 miles (80 km) south of Rapid City. Sioux and Cheyenne Indians were once frequent visitors to the area's warm mineral springs, which were reputed to have healing properties. A large natural-warm-water indoor pool built in 1890, the Evans Plunge, remains a tourist attraction. Hot Springs is bordered to the west and south by Black Hills National Forest. Buffalo Gap National Grassland, of which Hot Springs is a district headquarters, is to the south and east. Also in the area are Badlands National Park and Jewel Cave National Monument.