South Shore is a home rule-class city in Greenup County, Kentucky, United States. The population was 1,122 at the 2010 census, down from 1,226 in 2000. It is located along the Ohio River across from Portsmouth, Ohio, at the mouth of Tygarts Creek. South Shore is a part of the Huntington-Ashland, WV-KY-OH, Metropolitan Statistical Area (MSA).