Located in the west central part of the county, it borders the following townships and city:
Colerain Township - north
Cincinnati - east
Delhi Township - south
Miami Township - west
Two cities occupy what was once part of Green Township: Cheviot in the east center, and Cincinnati, the county seat of Hamilton County, in the east and southeast. Nearly all of the remainder of the township is part of one of the following census-designated places:
Monfort Heights, in the northeast, south of White Oak
White Oak, in the northeast
The township encompasses 27.9 sq mi of gently rolling hills above the Ohio River northwest of downtown Cincinnati. As of 1990, over 50% of the township's area has been was converted to urban use, largely as a suburb of Cincinnati; 38% is classed as forested, and 11% as farmland.
The township is governed by a three-member board of trustees, who are elected in November of odd-numbered years to a four-year term beginning on the following January 1. Two are elected in the year after the presidential election and one is elected in the year before it. There is also an elected township fiscal officer, who serves a four-year term beginning on April 1 of the year after the election, which is held in November of the year before the presidential election. Vacancies in the fiscal officership or on the board of trustees are filled by the remaining trustees.
Parks
Green Township has a township park system with six different parks including:
Most of Green Township is within the Oak Hills Local School District. The Monfort Heights and White Oak areas of Green Township are within the Northwest Local School District. Within the Oak Hills Local School District: Oakdale Elementary School, Bridgetown Middle School and Oak Hills High School are within Bridgetown, Green Township. John F. Dulles Elementary School is within Mack. Springmyer Elementary School is also within Mack. Within the Northwest Local School District: Two Northwest schools are located in Green Township. Monfort Heights Elementary School serves Monfort Heights students, while White Oak Middle School serves White Oak and Monfort Heights students. Three Northwest schools located in Colerain Township serve Green Township students. Ann Weigel Elementary School and Struble Elementary School serve White Oak students, while Colerain High School serves Monfort Heights and White Oak students.
Public libraries
operates the Green Township Branch in Mack and the Monfort Heights Branch in Monfort Heights. The Green Township branch, which opened in January 1990, has a central copper dome with two smaller domed structures, which were designed to resemble barns of horse farms which at one time prevalent in Green Township.