Center Township is a township in Smith County, Kansas, United States. As of the 2000 census, its population was 1,827.
The center of Center Township is located at . Center Township covers an area of ; of this, or 0.04 percent is water.
As of the 2010 census, there were 1,827 people residing in the township. The population density was . The racial makeup of the township was 97.65% White, 0.11% African American, 0.33% Native American, 0.11% Asian, 0.22% Pacific Islander, 0.33% other races and 1.26% reported that they belonged to two or more races. Hispanic or Latino of any race were 0.93% of the population.