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 at the 2000 census. 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.The South Portsmouth–South Shore station serves Amtrak's Cardinal Trains 50 & 51.