Bailey matched the feat when he took the same tally off paceman Jimmy Anderson in the final over of Australia's second innings on the fourth day of the third Test. (JPN/Agencies)
The Tasmanian, in only his third Test, hit three sixes and two fours in the over. Australian captain Michael Clarke declared on 369 for 6.
Australia closed in on regaining the Ashes from England on the fourth day of the third Test at the WACA Ground.
After a catastrophic day for the tourists on Sunday, when England conceded a big lead to the Australians, things got even worse for them on day four.
The Australian batsmen put them to the sword before lunch, and the home team then made immediate inroads into the England batting line-up in their second innings.
At tea England were 95 for three, with Kevin Pietersen on 21 and Ian Bell on six, the pair probably England's last chance of saving the match and staying in the series.
England were set an unlikely 504 to win, the first time a team has ever been set a target of over 500 in three successive Tests, and were still 408 runs behind with their chances of hanging on for a draw also looking forlorn.
Australia will claim the five-Test series with a win in Perth, having won the first two Tests in Brisbane and Adelaide.
Bailey matched the feat when he took the same tally off paceman Jimmy Anderson in the final over of Australia's second innings on the fourth day of the third Test.