Greene Township is one of twelve townships in Jay County, Indiana, United States.

As of the 2020 census, its population was 926 (down from 989 at 2010[2]) and it contained 383 housing units.

[3] A large share of the early settlers being natives of Greene County, Ohio, caused the name to be selected.

[4] According to the 2010 census, the township has a total area of 35.26 square miles (91.3 km2), of which 35.25 square miles (91.3 km2) (or 99.97%) is land and 0.01 square miles (0.026 km2) (or 0.03%) is water.

[2] The township contains seven cemeteries: Center, Claycomb, Kinsey, Sager, Whaley, Whicker and Whiteman.