The 2020 census found 2,928 people in the township.

Located in the southern part of the county, it borders the following townships: A small section of the county seat of Bryan is located in eastern Center Township, and the unincorporated communities of Melbern and Williams Center lie in the township's west and southeast respectively.

Center Township was organized in 1836, and was so named on account of its location near the geographical center of Williams County before the county was reduced in size.

[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.