Sutter Creek is a city in Amador County, California, United States. The population was 2,501 at the 2010 census, up from 2,303 at the 2000 …Sutter Creek is a city in Amador County, California, United States. The population was 2,501 at the 2010 census, up from 2,303 at the 2000 census. It is accessible via State Route 49. The community takes its name from nearby Sutter Creek, which in turn has the name of early California developer John Sutter.