The area was divided between Novotorzhsky (with the center in Torzhok) and Vyshnevolotsky (Vyshny Volochyok) uyezds.

On 1 October 1929, governorates and uyezds were abolished, and Kamensky District with the administrative center in the settlement of Kuvshinovo was established.

[10][12] In 1938, Kuvshinovo was merged with the nearby selo of Kamenka and granted town status.

[13] The main agricultural specializations of the district are cattle breeding with meat and milk production, as well as crops and potato growing.

[9] A railway line which connects Likhoslavl with Soblago via Torzhok and Selizharovo crosses the area of the district from east to west and passes Kuvshinovo.

A road connecting Torshok with Ostashkov crosses the district from east to west and runs through Kuvshinovo.

The district contains forty cultural heritage monuments of federal significance and additionally twenty-nine objects (three of them in Kuvshinovo) classified as cultural and historical heritage of local significance.

The federally protected monuments include the ensembles of Borok, Gornitsy, Pryamukhino, and Velemozhye Estates, of the Mogilyovskaya Pustyn monastery, as well as several churches of the 18th and the 19th centuries.