Kempton is a town in Jefferson Township, Tipton County, in the U.S. state of Indiana.

Kempton was founded in 1875, upon the completion of the Lake Erie and Western Railroad, in the same year.

The land was originally owned by David Kemp, the namesake of the town.

That year, there was also a post office, an additional store, a blacksmith, and a mill.

Tilemaking was the most lucrative industry, with the Kempton Tile Factory being located in the town.

According to the 2010 census, Kempton has a total area of 0.16 square miles (0.41 km2), all land.

23.3% of all households were made up of individuals, and 12.4% had someone living alone who was 65 years of age or older.

20.1% of all households were made up of individuals, and 6.5% had someone living alone who was 65 years of age or older.