Utica is a city in Winona County, Minnesota, United States. The population was 266 at the 2020 census. Utica was platted in 1866. The city was …Utica is a city in Winona County, Minnesota, United States. The population was 266 at the 2020 census. Utica was platted in 1866. The city was named after Utica, New York. The Benjamin Ellsworth House, built in 1873 by the town's founder, is listed on the National Register of Historic Places.