On August 1, 1927, the uyezds were abolished, and Kunyinsky District was established, with the administrative center in Kunya. Pskov Governorate was abolished as well, and the district became a part of Velikiye Luki Okrug of Leningrad Oblast. On June 17, 1929, the district was transferred to Western Oblast. On July 23, 1930, the okrugs were also abolished and the districts were directly subordinated to the oblast. On January 1, 1932 the district was abolished, but on February 10, 1935, it was re-established as a part of Velikiye Luki Okrug of Kalinin Oblast, one of the okrugs abutting the state boundaries of the Soviet Union. On May 4, 1938, the district was subordinated directly to the oblast. Between August 1941 and January 1942, Kunya was occupied by German troops. On August 22, 1944, the district was transferred to newly established Velikiye Luki Oblast. On October 2, 1957, Velikiye Luki Oblast was abolished, and Kunyinsky District was transferred to Pskov Oblast. On February 1, 1963 the district was abolished and merged into Velikoluksky District; on January 12, 1965 it was re-established. On March 2, 1966 Kunya was granted urban-type settlement status.[3]
Kunya has a railway station on the railway connecting Moscow via Velikiye Luki with Riga.
The M9 highway which connects Moscow and Riga crosses the district from east to west, bypassing Kunya from the south. Kunya is connected by road with Usvyaty. There are also local roads.
Псковское областное Собрание депутатов. Закон №833-оз от 5 февраля 2009 г. «Об административно-территориальном устройстве Псковской области». Вступил в силу со дня официального опубликования. Опубликован: "Псковская правда", №20, 10 февраля 2009 г. (Pskov Oblast Council of Deputies. Law #833-oz of February 5, 2009 On the Administrative-Territorial Structure of Pskov Oblast. Effective as of the official publication date.).
Псковское областное Собрание депутатов. Закон №420-оз от 28 февраля 2005 г. «Об установлении границ и статусе вновь образуемых муниципальных образований на территории Псковской области», в ред. Закона №1542-ОЗ от 5 июня 2015 г. «О внесении изменений в Закон Псковской области "Об установлении границ и статусе вновь образуемых муниципальных образований на территории Псковской области"». Вступил в силу со дня официального опубликования. Опубликован: "Псковская правда", №41–43, №44–46, №49–51, 4 марта 2005 г., 5 марта 2005 г., 11 марта 2005 г. (Pskov Oblast Council of Deputies. Law #420-oz of February 28, 2005 On Establishing the Borders and the Status of the Newly Formed Municipal Formations on the Territory of Pskov Oblast, as amended by the Law #1542-OZ of June 5, 2015 On Amending the Law of Pskov Oblast "On Establishing the Borders and the Status of the Newly Formed Municipal Formations on the Territory of Pskov Oblast". Effective as of the official publication date.).