Andover Township is one of the twenty-seven townships of Ashtabula County, Ohio, United States.

[3] Located on the southeastern edge of the county, it borders the following townships: The village of Andover is located in central Andover Township.

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,[4] 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 board is composed of chairman William French and members William Groff and Andrew Kirby, Fiscal Officer Karen Chapman.