Peremyshlsky District () is an administrative and municipal district (raion), one of the twenty-four in Kaluga Oblast, Russia. It is located in the east of the oblast. The area of the district is . Its administrative center is the rural locality (a selo) of Peremyshl. Population: 13,952 (2002 Census); The population of Peremyshl accounts for 25.0% of the district's total population.