1979 Custom Credit Australian Indoor Championships

The 1979 Custom Credit Australian Indoor Championships was a men's tennis tournament played on indoor hard courts at the Hordern Pavilion in Sydney, Australia and was part of the 1979 Colgate-Palmolive Grand Prix. It was the seventh edition of the tournament and was held from 15 October through 21 October 1979. First-seeded Vitas Gerulaitis won the singles title.

Singles
🇺🇸 Vitas Gerulaitis defeated 🇦🇷 Guillermo Vilas 4–6, 6–3, 6–1, 7–6
 * It was Gerulaitis' 3rd title of the year and the 22nd of his career.

Doubles
🇦🇺 Rod Frawley / Francisco González defeated 🇮🇳 Vijay Amritraj / 🇺🇸 Pat Du Pré by default
 * It was Frawley's only title of the year and the 1st of his career. It was González's 2nd title of the year and the 2nd of his career.