In the south, the Katschberg Pass road leads to the neighbouring state of Carinthia.
In the east, the upper river Mur, originating near Muhr, flows towards Murau in Styria, accompanied by the narrow-gauge Taurach Railway and the Mur Valley Railway.
Beside some pastoral economy, Lungau largely depends on tourism.
The district is divided into 15 municipalities, four of them are market towns.
(population numbers Jan. 1, 2023) Media related to Tamsweg District at Wikimedia Commons