[3] Located on the northeastern edge of the county, it borders the following townships and city: No municipalities are located in Monroe Township.

[4] The first settler in Monroe Township was Stephen Moulton, who arrived from New York in 1799.

[5] 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.

There is also an elected township fiscal officer,[6] 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.

Currently, the members of the board are John Griggs, Roger Sherman, Jr, and Robert Pixley.