New Zealand's innings was a largely ordinary effort, save wicketkeeper Luke Ronchi.
Had it not been for his blazing 99 off 83 balls - falling one short of what would have been a maiden ODI century - New Zealand would have been in a sorry state.
He shared a 65-run stand for the sixth wicket with Tom Latham,who made a handy 29, and a 10th-wicket record stand with Boult of 74, eclipsing Martin Snedden and Ewen Chatfield's 65 against Sri Lanka at the 1983 World Cup.
Ronchi struck 11 fours and three sixes - taking 16 in three balls from the usually tightfisted Vernon Philander at one point - before touching a catch to wicketkeeper Quinton de Kock off Dale Steyn. That gave de Kock a sixth dismissal, equalling the record for a South African wicketkeeper in an ODI, set by Mark Boucher against Pakistan at Cape Town seven years ago.
At one point New Zealand lost three for none in the space of eight balls, slumping to 68 for five. Thanks largely to Ronchi, they got themselves out of a hole to the extent of giving the bowlers something to work with.
The second ODI is at the same ground on Friday.
As it happened: Ball by ball commentary
Scoreboard
Corey Anderson fell first ball to Morne Morkel. Photo / Alan Gibson
Brendon McCullum was caught pulling to Morne Morkel. Photo / Alan Gibson
Martin Guptill made five off 29 balls. Photo / Alan Gibson