Fredonia is a city in Logan County, North Dakota, United States. The population was 38 at the 2020 census. Fredonia was founded in 190…Fredonia is a city in Logan County, North Dakota, United States. The population was 38 at the 2020 census. Fredonia was founded in 1905. According to the United States Census Bureau, the city has a total area of 0.24 square miles, all land.