Gosport is a town in Wayne Township, Owen County, in the U.S. state of Indiana.

Gosport was platted in 1829, and named for Ephraim Goss, an early settler.

Osgood House are listed on the National Register of Historic Places.

[7][8] According to the 2010 census, Gosport has a total area of 0.39 square miles (1.01 km2), all land.

The racial makeup of the town was 98.5% White, 0.7% African American, 0.1% Asian, and 0.6% from two or more races.

32.9% of all households were made up of individuals, and 13.5% had someone living alone who was 65 years of age or older.

27.1% of all households were made up of individuals, and 16.1% had someone living alone who was 65 years of age or older.