The 1978–79 South-West Indian Ocean cyclone season was an average cyclone season. The season officially ran from November 1, 1978, to April 30, 1979.

The 1978–79 Australian region cyclone season was the only season in which a reconnaissance aircraft flew into a tropical cyclone. Operationally, Australia's Bureau of Meteorology (BOM) tracked eleven tropical cyclones, while two additional systems were later added to the United States's Joint Typhoon Warning Center (JTWC) best track. Prior to 1985, the Australian region basin was defined as in the southern hemisphere between 80°E and 160°E, with the modern day season boundaries ranging from 1 November to 30 April of the following year. The first storm, an unnamed system, developed on 19 November 1978. The final cyclone, Kevin, dissipated by 12 May 1979. Tropical cyclones in this area were monitored by three Tropical Cyclone Warning Centres (TCWCs): the BOM in Perth, Darwin, and Brisbane.