Dana is a city in Greene County, Iowa, United States. The population was 38 at the time of the 2020 census. Dana was incorporated as a town …Dana is a city in Greene County, Iowa, United States. The population was 38 at the time of the 2020 census. Dana was incorporated as a town in 1907. It is named for Samuel Dana, a pioneer settler. According to the United States Census Bureau, the city has a total area of 0.28 square miles, all land.