The Lower Brule Indian Reservation is an Indian reservation that belongs to the Lower Brule Sioux Tribe. It is located on the west bank of the Missouri River in Lyman and Stanley counties in central South Dakota in the United States. The Crow Creek Indian Reservation is on the east bank of the river. The Lower Brule Sioux are members of the Sicangu, on…The Lower Brule Indian Reservation is an Indian reservation that belongs to the Lower Brule Sioux Tribe. It is located on the west bank of the Missouri River in Lyman and Stanley counties in central South Dakota in the United States. The Crow Creek Indian Reservation is on the east bank of the river. The Lower Brule Sioux are members of the Sicangu, one of the bands of the Lakota people. Tribal headquarters is in Lower Brule.