[1] The Starotveretsky Canal, which is 2.9 kilometres (1.8 mi) long and a part of the Vyshny Volochyok Waterway, is considered the Tvertsa's riverhead, which connects the river with the Vyshny Volochyok Reservoir.

There, the river enters Kalininsky District and flows towards the city of Tver.

The Tvertsa River freezes up in November through early January and stays under the ice until late March or April.

The towns of Torzhok and Vyshny Volochyok are located on the Tvertsa River.

Since the Middle Ages the Tvertsa has been a part of a waterway connecting the Baltic Sea and the Volga, which runs along the rivers Neva, Volkhov, and Msta.