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[1]) and it contained 705 housing units.

[2] According to the 2010 census, the township has a total area of 42.31 square miles (109.6 km2), of which 42.09 square miles (109.0 km2) (or 99.48%) is land and 0.22 square miles (0.57 km2) (or 0.52%) is water.

[1] The streams of Dry Branch, Lewis Creek, Little Creek, Neils Creek and Walton Creek run through this township.

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