Anna is a village in Shelby County, Ohio, United States. The population was 1,567 at the 2010 census.Anna is the location of a Honda of America Manufacturing (HAM) Plant that produces engines and other components for a range of Honda vehicles.Anna is home to the Anna Local Schools, located in two separate buildings. Elementary in one and Middle and High school in the other. The Anna Rockets sports teams include male and female basketball and track and field.