1978 Custom Credit Australian Indoor Championships – Singles

Jimmy Connors was the defending champion and won in the final 6–0, 6–0, 6–4 against Geoff Masters.

Seeds

 * 1) 🇺🇸 Jimmy Connors (champion)
 * 2) 🇲🇽 Raúl Ramírez (first round)
 * 3) 🇺🇸 Arthur Ashe (second round)
 * 4) 🇦🇺 John Alexander (first round)
 * 5) 🇦🇺 Tony Roche (first round)
 * 6) 🇺🇸 Tom Gorman (second round)
 * 7) 🇦🇺 John Newcombe (semifinals)
 * 8) 🇦🇺 Ken Rosewall (quarterfinals)