Perry is a city in Jefferson County, Kansas, United States. As of the 2020 census, the population of the city was 852. Perry got its start in the y…Perry is a city in Jefferson County, Kansas, United States. As of the 2020 census, the population of the city was 852. Perry got its start in the year 1865 following construction of the railroad through the territory. It was named for John D. Perry, the President of the Kansas Pacific Railroad.