Waverly is a home rule-class city in Union County, Kentucky, United States.

Founded in 1870, the city was named for founder Hugh McElroy's nephew.

[3] According to the United States Census Bureau, the city has a total area of 0.3 square miles (0.78 km2), all land.

28.6% of all households were made up of individuals, and 18.3% had someone living alone who was 65 years of age or older.

About 7.4% of families and 9.1% of the population were below the poverty line, including 18.3% of those under the age of eighteen and 4.2% of those 65 or over.