In 1802 a court order awarded half the township to one of his Miami Company investors, Elias Boudinot.

The township is named after Nathanael Greene, a Revolutionary War general.

Airport operations began in 1929, shutdown during World War II, then reopened after the end of the war, slowly declining until the corporation ceased services in 1949 as aircraft outgrew the facilities.

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.

[2] 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.

This includes LaSalle High School, St. Antoninus, Our Lady of Visitation, St. Aloysius Gonzaga, St. Jude, St. James White Oak, and St. Ignatius.

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.

[12][14] 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.