Narka is a city in Republic County, Kansas, United States. As of the 2020 census, the population of the city was 81. Narka was founded in 188…Narka is a city in Republic County, Kansas, United States. As of the 2020 census, the population of the city was 81. Narka was founded in 1887. It was named for the daughter of a railroad employee. The first post office in Narka was established in November 1887. Narka was incorporated as a city in 1894.