Graham Township is one of ten townships in Jefferson County, Indiana, United States. As of the 2020 census, its population was 1,618 (slightly down from 1,668 at 2010) and it contained 705 housing units.

Historical population

Census	Pop.	Note	%±
1890	1,184		—
1900	1,186		0.2%
1910	1,213		2.3%
1920	1,228		1.2%
1930	903		−26.5%
1940	1,062		17.6%
1950	1,170		10.2%
1960	1,231		5.2%
1970	1,262		2.5%
1980	1,446		14.6%
1990	1,448		0.1%
2000	1,666		15.1%
2010	1,668		0.1%
2020	1,618		−3.0%
Source: US Decennial Census

According to the 2010 census, the township has a total area of 42.31 square miles (109.6 km), of which 42.09 square miles (109.0 km) (or 99.48%) is land and 0.22 square miles (0.57 km) (or 0.52%) is water. The streams of Dry Branch, Lewis Creek, Little Creek, Neils Creek and Walton Creek run through this township.

• Deputy

• Parkers Station

• Montgomery Township, Jennings County (north)
• Lancaster Township (northeast)
• Smyrna Township (east)
• Republican Township (southeast)
• Lexington Township, Scott County (south)
• Johnson Township, Scott County (west)
• Marion Township, Jennings County (northwest)

The township contains three cemeteries: Carmel, Robertson and Valley.

• Indiana State Road 3
• Indiana State Road 56
• Indiana State Road 250
• Indiana State Road 256

• "Graham Township, Jefferson 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