Zverinogolovsky District () is an administrative and municipal district (raion), one of the twenty-four in Kurgan Oblast, Russia. It is located in the south of the oblast. The area of the district is . Its administrative center is the rural locality (a selo) of Zverinogolovskoye. Population: 11,755 (2002 Census). The population of Zverinogolovskoye accounts for 42.7% of the district's total population.
The district was established in 1992.