[3] Located in the northwestern corner of the county along Lake Erie, it borders the following townships: The Canadian province of Ontario lies across Lake Erie to the north.

Two municipalities are located in Geneva Township: most of the city of Geneva in the south, and the village of Geneva-on-the-Lake in the north, on the shoreline of Lake Erie.

Geneva Township was described in 1833 as having one store, one gristmill, and three saw mills.

[7] 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.

Currently, the board is composed of chairman Tim Mills and members Dennis Brown and Bob Russell.