Brush Creek Township is one of the twenty-five townships of Muskingum County, Ohio, United States.Located on the southern edge of the county, it borders the following townships: No municipalities are located in Brush Creek Township.Statewide, other Brush Creek Townships are located in Adams, Jefferson, and Scioto counties, plus a Brushcreek Township in Highland County.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.