Brænne is a Norwegian surname. Notable people with the surname include:
People Bendik Brænne (born 1987), Norwegian musician Berit Brænne (1918–1976), Norwegian actress and writer Bernhard Brænne (1854–1927), Norwegian businessman and politician Randi Brænne (1911–2004), Norwegian actress Trond Brænne (1953–2013), Norwegian actor, writer and radio personality
Other Brænne Mineralvatn, Norwegian bottling company