Shume
[Image:Bundesarchiv Bild 105-DOA0944, Deutsch-Ostafrika, Auf Neu-Hornow.jpg|thumb|right|200px|Neu-Hornow,.]
[Image:Bundesarchiv Bild 105-DOA0385, Deutsch-Ostafrika, Usambaragebirge.jpg|thumb|right|200px|Nearby mountains,.]
Shume is a town in Tanzania in the Usambara Mountains in Lushoto District of Tanga Region. It was formerly known as New Hornow and was the location of a sawmill during the country's colonial period. Around 1910, a cable railway was constructed to link the mill with the Usambara line to permit export to Germany.