Green Meadow Township was organized in 1880, and named for the prairie landscapes within its borders.

[3] According to the United States Census Bureau, the township has a total area of 36.6 square miles (95 km2), all land.

There were 49 housing units at an average density of 1.3 per square mile (0.50/km2).

21.4% of all households were made up of individuals, and 9.5% had someone living alone who was 65 years of age or older.

There were no families and 5.3% of the population living below the poverty line, including no under eighteens and 10.5% of those over 64.