Sør-Varanger is a municipality in Finnmark county, Norway. The administrative centre of the municipality is the town of Kirkenes. Sør-Varanger was separated from the municipality of Vadsø on 1 July 1858.
The meaning of the name Sør-Varanger is originally the name of a fjord, (Old Norse: Ver(j)angr). The first part is ver meaning "fishing village" and the last part is angr which means "fjord". It was first probably used for the narrow fjord on the inside of Angsnes which now is called "Meskfjorden" and leads in to Varangerbotn. Sør means "south". Prior to 1918, the name was spelled Sydvaranger. Until 1964 there also was a municipality named Nord-Varanger.
The coat-of-arms is from modern times. They were granted on 16 April 1982. The arms show three flames in gold/orange. The division of the shield symbolizes the importance of the number three: The three main sources of income are agriculture, mining, and fishing; the municipality has three rivers (Neiden, Pasvikelva and Jakobselva) that form the borders of Norway, Russia, and Finland; and there are three cultures in the municipality: Norwegians, Finns, and Sami.