Center Point is a town in Sugar Ridge Township, Clay County, Indiana, United States.

The racial makeup of the town was 98.3% White, 0.4% African American, and 1.2% Asian.

32.7% of all households were made up of individuals, and 12.5% had someone living alone who was 65 years of age or older.

There were 115 housing units at an average density of 155.4 per square mile (60.0/km2).

21.6% of all households were made up of individuals, and 9.8% had someone living alone who was 65 years of age or older.

About 4.1% of families and 6.6% of the population were below the poverty line, including 5.7% of those under the age of eighteen and 13.8% of those 65 or over.