The 2020 census found 4,317 people in the township.

Located in the northeastern part of the county along the Ohio River, it borders the following townships: Hancock County, West Virginia, lies across the Ohio River to the east.

Three incorporated municipalities are located along the Ohio River in eastern Knox Township: As well, the unincorporated community of New Somerset lies in the northern part of the township.

[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.