Rain has delayed play on the second day of the third test at Kensington oval.
Opener Kraigg Brathwaite hit an enterprising 68 while Chris Gayle (42) and Kirk Edwards (41 not out) also made positive contributions as West Indies reached 159-2 at lunch.
The home team, which bowled out New Zealand for 293 on day one, was still trailing by 124 runs on Saturday.
Right-hander Brathwaite, fresh off a maiden century in Trinidad last week, stroked 10 fours off 116 balls.
The West Indies, overnight 32-0, were guided by the 21-year-old Brathwaite and veteran Gayle as their stand posted 79.
The 34-year-old Gayle characteristically smashed six fours and a six before off-spinner Mark Craig made the first breakthrough as the big Jamaican left-hander holed out to long-off.
But New Zealand's joy was shortlived as Brathwaite and Edwards, two Barbadians in front of their home fans, shared a second wicket stand of 74 in an hour.
But just as the hosts were taking full control, left-arm seamer Neil Wagner snared Brathwaite into a loose drive. Tim Southee took a diving catch to his left at extra cover.
Edwards, closing in on a second successive half century, lashed four fours and a six off 45 balls.
The three-test series is tied 1-1.