Menoken is an unincorporated community and a census-designated place in southwestern Burleigh County, North Dakota, United States. It was designated as part of the U.S. Census Bureau's Participant Statistical Areas Program on June 10, 2010. It was not counted separately during the 2000 Census, but was included in the 2010 Census, where a populati…Menoken is an unincorporated community and a census-designated place in southwestern Burleigh County, North Dakota, United States. It was designated as part of the U.S. Census Bureau's Participant Statistical Areas Program on June 10, 2010. It was not counted separately during the 2000 Census, but was included in the 2010 Census, where a population of 70 was reported.