The 1958-59 Austrian Cup was Austria's nationwide football cup competition. FK Austria Wien were the defending champions from the 1948-49 season. From 1949-50 till 1957-58 no Cup competition was held.
Round of 32
First round with teams from Staatsliga A and Staatsliga B.
Round of 16
Quarter-finals
Semi-finals
Final
Wiener AC: Franz Pelikan - Herbert Brtnicky-Janecek - Karl Kowanz - Viktor Mach - Herbert Lenzinger - Bohumil Hruska - Rudolf Schrötter - Stefan Szokol - Ernst Kaltenbrunner - Norbert Schilling - Kurt Reiter coach: Johann Kliwitsch SK Rapid Wien: Walter Zeman - Wilhelm Zaglitsch - Walter Glechner - Josef Höltl - Gerhard Hanappi - Karl Gießer - Paul Halla - Rudolf Flögel- Alfred Körner - Josef Bertalan coach: Robert Körner