Vevay Township Hall serves township residents as a polling station for Federal, state and local elections. The Township is divided into two voter precincts and both precincts vote at the Eden Church.

Precinct I. The precinct comprises the southern half of Vevay Township. The precinct's northern boundary runs along the south side of Tomlinson Road as well as along the south side of Dexter Trail to the southeast of Hawley Road.

Precinct II. The precinct comprises the northern half of the township. The precinct's southern boundary lies along the northern side of Tomlinson Rd and then along the northern side of Dexter Trail to the southeast of Hawley Road.