Demyansky District is an administrative and municipal district (raion), one of the twenty-one in Novgorod Oblast, Russia. It is located in the south of the oblast and borders with Krestetsky District in the north, Valdaysky District in the northeast, Firovsky District of Tver Oblast in the southeast, Ostashkovsky District of Tver Oblast in the south, Maryovsky District in the southwest, Starorussky District in the west, and with Parfinsky District in the northwest. The area of the district is 3,200 square kilometers (1,200 sq mi). Its administrative center is the urban locality of Demyansk. Population: 13,001 (2010 Russian census); 16,020 ; 18,488 (1989 Soviet census). The population of Demyansk accounts for 41.3% of the district's total population.

Valdaysky District is an administrative and municipal district (raion), one of the twenty-one in Novgorod Oblast, Russia. It is located in the southeast of the oblast and borders with Okulovsky District in the north, Bologovsky District of Tver Oblast in the east, the territory of the closed administrative-territorial formation of Ozyorny of Tver Oblast in the southeast, Firovsky District of Tver Oblast in the south, Demyansky District in the southwest, and with Krestetsky District in the northwest. The area of the district is 2,701.63 square kilometers (1,043.11 sq mi). Its administrative center is the town of Valday. Population: 26,476 (2010 Russian census); 29,943 ; 32,373 (1989 Soviet census). The population of Valday accounts for 60.8% of the district's total population.