Run is a city located in Monroe County, in the state of Kentucky (KY), United States. Nestled in the East South Central division of the South region, it covers an area of 1.0 square miles (3.0 km²) and sits at an elevation of 775 ft. With a population of approximately 236 residents, Run offers a peaceful, rural atmosphere.
The town's population is composed of about 41.53% males and 58.47% females, and it has a population density of 240.82 people per square mile (92.98/km²). Run lies at a latitude of 36.72 and a longitude of -85.96, operating in the UTC-6.
Locals reflect a blend of American ancestry, with roots primarily in United States (24.2%), followed by English (8.5%), German (3.8%), and Scotch-Irish (0%) heritage. The town is identified by the ZIP code 42133.