The pair put on 130 for the sixth wicket with Nicholls unbeaten on 83 while Astle, in only his second ODI, was out in the final over for 49.
George Worker and Ross Taylor also chimed in with half- centuries to propel New Zealand into solid position in a match the West Indies need to win to keep the series alive.
New Zealand won the first of three ODIs by five wickets on Wednesday.
He removed Munro (30) and Neil Broom (six) in quick succession before Worker and Ross Taylor steadied the innings with a 58-run partnership at better than a run-a-ball pace.
Worker, who was dropped on seven by wicketkeeper Shai Hope, reached his second consecutive half-century against the West Indies and a personal best 58 before he fell to Ronsford Beaton.
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 rebuild the innings.
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.
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