His whirlwind performance in partnership with Jesse Ryder, who smacked the sixth fastest century of all time in that form of the game, took New Zealand to 283-4 in a match reduced to 21 overs each side.
The West Indies then wilted when faced with a daunting run rate of nearly 13.5 an over and could only manage 124-5 in reply.
The series is now all square at 1-1 with two matches to play.
The burly Anderson hit 14 sixes, the third highest in an ODI innings behind Rohit Sharma (16) for India against Australia two months ago and Australia's Shane Watson (15) against Bangladesh in 2011.
Anderson and Ryder put on 191 for the fourth wicket as they hammered the West Indies attack.
After the start of the game was delayed five hours because of the weather, Ryder set the tone for the New Zealand innings when he cracked a boundary from the first ball he faced.
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