Barr Township is one of ten townships in Daviess County, Indiana. As of the 2020 census, its population was 5,431 (up from 4,811 at 2010) and it contained 1,649 housing units.
Barr Township was organized on 4 August 1819 from part of Washington Township; its namesake was pioneer settler Hugh Barr. Besides agriculture, which has flourished in its rich soils, the township has depended economically upon coal mining, as some of Indiana's highest quality coal mines are found in Barr Township.
According to the 2010 census, the township has a total area of , of which (or 98.44%) is land and (or 1.56%) is water.
The township cemeteries: Saint Peters, Wagler, and St. Mary's (Barr Township)located on St. Mary's Rd.