In a rain-abbreviated match reduced to 23-overs-a-side, New Zealand made 131 for four.
The West Indies, in reply, were 99 for nine at the end of their innings.
New Zealand won the first match by five wickets and the second by 204 runs.
New Zealand's Henry Nicholls (R) bats as West Indies wicketkeeper Shai Hope (L) looks on, during the third one-day international (ODI) cricket match between New Zealand and the West Indies at Hagley Oval in Christchurch.
New Zealand beat the West Indies by 66 runs in their third one-day international in Christchurch on Tuesday to sweep the series 3-0.