Second-seeded Alex Olmedo defeated Neale Fraser 6–1, 6–2, 3–6, 6–3 in the final to win the men's singles tennis title at the 1959 Australian Championships.
The seeded players are listed below. Alex Olmedo is the champion; others show the round in which they were eliminated.
Neale Fraser (finalist)
Alex Olmedo (champion) Roy Emerson (quarterfinals)
Andrés Gimeno (quarterfinals) Rod Laver (third round) Barry MacKay (semifinals) Bob Mark (semifinals) Butch Buchholz (second round) Bob Howe (second round)
Ulf Schmidt (quarterfinals) Don Candy (quarterfinals) Jan-Erik Lundqvist (third round) Warren Woodcock (third round) Martin Mulligan (third round) Christopher Crawford (third round)