The Blacks Caps, who lead the seven-match series 1-0, appeared set for a mammoth total when McCullum smashed 117 after winning the toss but Sri Lanka piled on the pressure to have them all out for 248 at the end of 50 overs.
Sharp fielding and consistent bowling from Angelo Mathews' men on a tame Seddon Park wicket forced four run-outs and a stumping as New Zealand lost their composure without skipper McCullum at the crease.
The visitors struck early when opener Martin Guptill departed for 10 trying to loft Nuwan Kulasekara over mid-off, sending the ball straight to Mathews to continue an indifferent run of form at international level.
McCullum responded to the setback with typical aggression, bringing up his second consecutive 50 in 39 balls, including eight boundaries.
He continued to play his shots even when Sri Lanka's decision to play a second spinner paid dividends as Rangan Herath coaxed an outside edge to dismiss Tom Latham for five.
It was only the fifth time in 203 one-day innings that McCullum has managed to covert his 28 half centuries into a ton, sending an ominous message to World Cup rivals that he is finally reproducing his Test form in the limited overs arena.
The 33-year-old then survived a mix-up between the wickets that left him stranded but fell a few balls later when a diving Jeevan Mendis had him caught and bowled for 117.
McCullum's departure sparked a flurry of dismissals, with New Zealand losing four wickets for 14 runs.
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