Sovetsky District () is an administrative district (raion), one of the twenty-six in Stavropol Krai, Russia. Municipally, it is incorporated as Sovetsky Municipal District. It is located in the south of the krai. The area of the district is . Its administrative center is the town of Zelenokumsk. Population: 72,762 (2002 Census); 64,993 (1989 Census). The population of Zelenokumsk accounts for 57.1% of the district's population.