The group announced their first Australian tour in eight years earlier this week, but tickets were sold out within moments of them becoming available due to 'scalpers' buying them first and selling them on for vastly inflated prices.
Triple J radio presenter Tom Tilley told The ABC: "Pre-sale tickets went on sale on Tuesday morning. They were snapped up straight away... already that day, people were scalping tickets for $400 and $500 (£270 to £338) each, when the original ticket price was $130 (£87).
"Pretty quickly, people [got] really angry. The excitement they had about the tour turned to rage."
Tilley, who claimed that Radiohead fans felt strongly about the ticket scams because they are an "absolutely prolific" band who write "emotional music", revealed that the concert promoter is "fired up" about the scandal and is trying to work with eBay and the Australian government to stop scalping.
Radiohead will play in Brisbane on November 9, Sydney on November 12 until 13 and at Melbourne's Rod Laver Arena on November 16 and 17.
They will also perform in New Zealand on November 6.
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Watch Radiohead's 'Lotus Flower' video below: