Welcome to Cincinnati, a charming town situated in the heart of Center Township, Greene County, Indiana. With a population of 3,567 at the 2010 census, Cincinnati is a small town that offers a big welcome. From our friendly community to our rich history and culture, Cincinnati is a place where visitors can experience the best of small-town living. Whether you're here for a day or a week, we invite you to explore our town and discover all that it has to offer.