Plevna is a city in Reno County, Kansas, United States. As of the 2020 census, the population of the city was 85. The first post office in Plev…Plevna is a city in Reno County, Kansas, United States. As of the 2020 census, the population of the city was 85. The first post office in Plevna was established in October 1877. It is named after the historical city of Pleven in Bulgaria, which months before was a siege battle won by Russian/Bulgarian forces, gaining Bulgaria its independence.