In reply, Auckland experienced none of the trouble that the visitors encountered at the crease, with Anaru Kitchen's 55 helping the Aces to overcome the early losses of openers Brad Cachopa and Tim McIntosh.
It was the Aces' fourth win in five competed games in this year's competition, leaving them three points clear at the top of the table. On Auckland's tails is Canterbury, as the two sides who competed for the T20 title now battle for supremacy in the 50-over format.
The Wizards marked themselves as Auckland's main threat after a huge first innings total of 306 proved barely enough to see off a valiant chase from Wellington at the Basin Reserve.
That total was set up by a maiden century from talented teenager Tom Latham, whose 130 came from just 119 balls and featured 14 fours and three sixes. Latham enjoyed a century stand with opener Rob Nicol (55), the only other Wizards' batsman to score more than 30.
Latham eventually fell to Harry Boam in the final over, but some late hitting from Matt Henry ensured Canterbury reached the psychological barrier of 300.
Thanks to their own centurion Stephen Murdoch, Wellington made an impressive attempt in their chase. The Firebirds started slowly and lost both openers cheaply, but Murdoch and both James Franklin and Grant Elliott combined well to put their side within touching distance.
But Murdoch's departure in the 44th over saw Wellington lose their final five wickets for 46 runs to fall 19 runs short. Ryan McCone was the pick of the bowlers for the victors, claiming 4-63 from nine overs including the key wicket of Murdoch.
The day's other game, between Otago and Central Districts, was abandoned after just eight overs in Invercargill - which was probably just the best for the visitors, who were teetering at 34-3 when the heavens opened.