Cape Town - A hat-trick of tries from winger Joe Tomane eased the Brumbies into the Super Rugby semi-finals with a 39-19 victory over the Stormers in a qualifier at Newlands on Saturday.
The Brumbies now have an away game with the table-topping Wellington Hurricanes in New Zealand next Saturday. The other semi-final will see the New South Wales Waratahs host the Otago Highlanders in Sydney.
It is the first time since 2003 that there will be no South African side in the last four.
"It was a special win. I'm so proud of the performance tonight," Brumbies skipper Stephen Moore said at the post-match presentation.
"We knew it was going to be tough but we had a good week and I am so happy to still be alive in the competition.
"It was a good contest, our maul defence was really sharp. We knew that was a strong part of their game and we shut it down reasonably well."
The Australians were the more clinical side in Cape Town, scoring four first-half tries as they led 24-6 at the break.
Stormers captain Juan De Jongh praised the visitors in victory.
"It's very disappointing but credit to the Brumbies, they came out firing. They made it very difficult for us at the breakdown, we couldn't build any phases," said De Jongh.