Guptill made 103 not out, reaching his ninth one-day international with the winning boundary as New Zealand won with 5.5 overs to spare after bowling out South Africa for 204. The win squared the three-match series, with the decider to be played in Durban on Wednesday.
Doug Bracewell led a disciplined bowling performance as the South African batsmen failed to come to terms with a slow pitch.
Bracewell, playing in his first one-day international in more than two years, took a career-best three for 31 with his accurate medium-pacers.
The previous record of 114 had been set by Mark Greatbatch and Rod Latham -- Tom's father -- in Auckland during the 1992 World Cup.
Latham made an impressive 64 off 81 balls before he was caught at deep square leg off leg-spinner Imran Tahir.
Guptill, who was dropped three times in making his first 40 runs, went on to see his team to victory in a 134-ball innings. He hit nine fours and three sixes.
"We knew we had to play above ourselves to get back in the series. The way the guys executed was fantastic -- a great effort with the ball, then the way the openers batted."
New Zealand fast bowler Adam Milne struck twice in his first two overs, dismissing Hashim Amla and Morne van Wyk to put South Africa on the back foot.
The hosts never recovered fully despite a career-best 70 by Farhaan Behardien. Bracewell took the next two wickets in a spell of two for 18 in six overs, with Rilee Rossouw (39) and David Miller (5) both falling to catches when they mistimed drives on a slow pitch.
Behardien and Vernon Philander put on 54 for the seventh wicket before the innings subsided, with the last three batsmen run out.
"We didn't score enough runs," said De Villiers. "There's a lot to play for in Durban.
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