Lynch is a home rule-class city in Harlan County, Kentucky, United States. In the 2020 census the city population was 658, down from 747 in 20…Lynch is a home rule-class city in Harlan County, Kentucky, United States. In the 2020 census the city population was 658, down from 747 in 2010. Lynch was plotted in 1917 by the U.S. Coal and Coke Company as a company town to house workers at the company's nearby coal mines. It was named for then-head of the company, Thomas Lynch.