1979 Custom Credit Australian Indoor Championships – Singles

Jimmy Connors was the defending champion but did not compete that year.

Vitas Gerulaitis won in the final 4–6, 6–3, 6–1, 7–6 against Guillermo Vilas.

Seeds

 * 1) 🇺🇸 Vitas Gerulaitis (champion)
 * 2) 🇦🇷 Guillermo Vilas (final)
 * 3) 🇺🇸 Pat Du Pré (first round)
 * 4) n/a
 * 5) 🇮🇳 Vijay Amritraj (second round)
 * 6) 🇦🇹 Peter Feigl (quarterfinals)
 * 7) 🇦🇺 Geoff Masters (second round)
 * 8) 🇺🇸 Tom Gorman (second round)