Elkrun 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.  Two trustees are elected in the year after the presidential election and one is elected in the year before it.  There is also an elected township fiscal officer who serves a four-year term.  The fiscal officer is elected in the year before the presidential election for a term beginning on April 1 of the year after the election.