Baker Township is a township in Lafayette County, Arkansas, United States. Its total population was 1,975 as of the 2010 United States census, a decrease of 19.81 percent from 2,463 at the 2000 census.
According to the 2010 Census, Baker Township is located at (33.390496, -93.506591). It has a total area of ; of which is land and is water (0.60%). As per the USGS National Elevation Dataset, the elevation is .
Most of the city of Stamps is located within the township.