The Highlanders will visit Sydney while the Brumbies are heading to Wellington in this year's Super Rugby semi-finals.
The Hurricanes will host the lowest-ranked qualifier, the Brumbies, after the Australian outfit defeated the Stormers in Cape Town late on Saturday.
That means the Highlanders, who triumphed against the Chiefs, head to take on the defending champions the Waratahs.
Super Rugby 2015 Semi-Finals
Saturday, June 27
Hurricanes (1) v Brumbies (6)
Kick-off: 19:35 local (07:35 GMT, 17:35 AEST, 09:35 SAST)
Waratahs (2) v Highlanders (4)
Kick-off: 19:55 local (09:55 GMT, 21:55 NZST, 11:55 SAST)