Dean Brownlie (five) and Daniel Vettori (two) missed out.
Kruger van Wyk, who came to the crease at 135 for seven, then struck a fighting 38 not out to prop up the batting effort and help push New Zealand past the West Indies' first innings total.
The wicket-keeper batsman, who scored an important 34 in the first innings, was supported by tail-enders Tarun Nethula and Neil Wagner who resisted a West Indies bowling attack on a wicket that had variable bounce and turn.
Plenty of credit has to go to Wagner who only scored five unbeaten runs but faced 57 balls and stayed at the crease for an hour during a vital ninth-wicket partnership worth 23 runs.
Tall West Indian spinner, Shane Shillingford, was the most dangerous of the bowling attack, picking up 5-77.
Earlier, a stunning catch by van Wyk helped Neil Wagner collect the wicket of Veerasammy Permaul for 17.
Vettori then closed out the innings by trapping Kemar Roach in front for one before having Shillington caught in the deep for 25.
The wily spinner ended up with 6-48 while Wagner impressed with 3-65.
