Rhame is a city in Bowman County, North Dakota in the United States. The population was 189 at the 2000 census. Rhame was founded in 1908. Rhame was home to Rhame High School until 2006 when it consolidated with nearby Bowman High School to form Bowman County High School which is located in Bowman, North Dakota. Rhame is still home to Rhame Elementary School.