KY 304 begins at the intersection of Front Street and Phillip Stone Way west of downtown Central City.

US 431 follows Phillip Stone Way through the intersection, and KY 70 heads west along Front Street and south concurrently with US 431.

KY 304 heads east along Front Street, which gradually approaches the east–west Paducah & Louisville Railway line.

At closest approach, the highway turns north onto West Reservoir Avenue for a brief concurrency with KY 277.

The highway has a grade crossing of CSX's O&N Subdivision rail line before reaching its eastern terminus at KY 1031 (2nd Street).