New Zealand sides are now first and second in rugby's super 14 competition.
The Chiefs who had a bonus point 28-14 win over the Stormers in Cape Town this morning are now two points behind the Hurricanes with two rounds to play.
Richard Kahui scored the Chiefs fourth try to grab a bonus point with just three minutes to play.
For The Stormers it was their eighth loss of the season. They failed to do fellow South African sides the Bulls and Sharks a favour by beating the Chiefs.
The Hurricanes and Chiefs meet next weekend.
Though the Stormers dominated the opening exchanges, scoring the first try of the match through flyhalf Willem de Waal in the 16th minute, they spent the rest of the half on defence.
The Chiefs absorbed the early pressure and then started to command almost every aspect of the game, scoring twice before the break.
Flanker Liam Messam rounded off a sustained Chiefs attack with their first try of the match in the 24th minute.
The New Zealanders' second came on the stroke of halftime through scrumhalf Toby Morland. Centre Richard Kahui burst away and made 50 metres before offloading to the supporting Morland for an easy canter under the crossbar.
The pair combined for the Chiefs' third try in the 65th minute when Kahui again ran an excellent straight line before feeding Morland for his second.