Bayou Township is a township in Baxter County, Arkansas, United States. Its total population was 360 as of the 2010 United States census, a decrease of 11.76 percent from 408 at the 2000 census.
According to the 2010 Census, Bayou Township is located at (36.467714, -92.209491). It has a total area of , of which is land and is water (3.88%). As per the USGS National Elevation Dataset, the elevation is .