Boyden is a city in Sioux County, Iowa, United States. The population was 701 at the 2020 census. According to the United States Census Bureā¦Boyden is a city in Sioux County, Iowa, United States. The population was 701 at the 2020 census. According to the United States Census Bureau, the city has a total area of 0.75 square miles, all land.