| Singles | |
|---|---|
| 1979 Custom Credit Australian Indoor Championships | |
| Champion |
|
| Runner-up |
|
| Final score | 4–6, 6–3, 6–1, 7–6 |
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.