[3] Located on the southwestern edge of the county, it borders the following townships: No municipalities are located in Hartsgrove Township.

It was named for Richard W. Hart, an early settler in the area and native of Connecticut.

[4][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 Bruce Gottron, Paul Hall, and Robert Williams.