As of the 2020 census, its population was 624 (down from 631 at 2010[3]) and it contained 246 housing units.

[4] Reeve Township was organized on May 12, 1817, at the first meeting of the Daviess County Commissioners.

It was named for its earliest resident, South Carolina native Joshua Reeve, who had settled in the township in 1808.

As the first settler in the area, Reeve lived in an isolated cabin in the forest; in order to obtain needed supplies, he was forced to travel to Vincennes.

Desiring to simplify his travels, Reeve blazed a trail through the woods from his home to Vincennes; in later years, the route became a road, and by the early twentieth century it had become one of the county's leading highways.