Boult had three for six after his first three overs as the West Indies fell apart at the start of their innings after being set an imposing 326-run target.
The tourists struggled through to 121 before Boult finished off the tail to give New Zealand victory by 204 runs to go with their five-wicket win in the first ODI on Wednesday.
When Boult had finished off the West Indies top order, Lochie Ferguson plucked out the middle with three wickets in 10 deliveries, including Jason Mohammed and Rovman Powell with successive balls.
Nicholls, given out lbw on 22 but reinstated on review when replays showed the ball would have missed the stumps, went on to be unbeaten on 83 at the close.
Astle went for 49 in the final over after the pair had put on a whirlwind 130 for the sixth wicket.
George Worker and Colin Munro gave New Zealand a flying start, reaching 50 off 40 deliveries before Sheldon Cottrell removed Munro (30) and his replacement Neil Broom (six) in quick succession.
West Indies captain Jason Holder reduced New Zealand to 186 for five when he removed Tom Latham and Taylor in the space of 11 balls, leaving Nicholls and Astle to build the formidable target.
Nicholls' 83 came off 62 balls and included two sixes and seven fours, while Astle faced 45 deliveries for his 49 but only reached the boundary three times.
For the West Indies, Sheldon Cottrell took three for 62.
The third and final match in the series will be on Tuesday at Hagley Oval where New Zealand have now won all seven ODIs they have played there.
Disclaimer: No Business Standard Journalist was involved in creation of this content
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