Center Township is one of fifteen townships in Greene County, Indiana, USA. As of the 2020 census, its population was 3,180, down from 3,535 at 2010.

Historical population

Census	Pop.	Note	%±
1890	1,758		—
1900	1,548		−11.9%
1910	1,163		−24.9%
1920	1,031		−11.3%
1930	960		−6.9%
1940	1,049		9.3%
1950	1,126		7.3%
1960	1,137		1.0%
1970	1,391		22.3%
1980	1,912		37.5%
1990	2,439		27.6%
2000	3,109		27.5%
2010	3,535		13.7%
2020	3,180		−10.0%
Source: US Decennial Census

According to the 2010 census, the township has a total area of 48.2 square miles (125 km), of which 48.2 square miles (125 km) (or 100%) is land and 0.01 square miles (0.026 km) (or 0.02%) is water. The streams of Anderson Branch, Bridge Creek, Indian Creek and Little Clifty Branch run through this township.

• Cincinnati
• Hobbieville
• Ridgeport
• Tanner

(This list is based on USGS data and may include former settlements.)

• Beech Creek Township (north)
• Van Buren Township, Monroe County (northeast)
• Indian Creek Township, Monroe County (east)
• Perry Township, Lawrence County (southeast)
• Jackson Township (south)
• Taylor Township (southwest)
• Richland Township (west)

The township contains eight cemeteries: Beech, Bingham, Burch, Carmichael, Flynn, Lawrence, Sparks and Stone.

• SR 43
• SR 45
• SR 54
• SR 445

• "Center Township, Greene County, Indiana". Geographic Names Information System. United States Geological Survey, United States Department of the Interior. Retrieved September 24, 2009.
• United States Census Bureau cartographic boundary files

• Indiana Township Association
• United Township Association of Indiana