 It is limited in the east by the river basin of the Kema, in the north and the west by the river basins of tributaries of Lake Onega, most notably the Vytegra, and in the south by the basin of the Megra, another tributary of lake Beloye.Between 1927 and 1959 the "selo" of Annensky Most, in the middle stream of the Kovzha, was the administrative center of Kovzhinsky District.The name of the district originated from the name of the river.