Neverkino (Russian: Неве́ркино) is a rural locality (a selo) and the administrative center of Neverkinsky District, Penza Oblast, Russia.

The development of the locality’s population, by year: 4,376 (2010 Census);[1] 5,173 (2002 Census);[2] 4,816 (1989 Soviet census).

[3] The highest point of Penza Oblast is an unnamed hill of the Khvalynsk Mountains reaching 342 metres (1,122 ft) above sea level located near Neverkino.