Drizzle started falling an hour before the scheduled 11.30am start time and intensified in the afternoon ending the match mercifully early at 2pm, just as the sun broke through.
The game was marred by poor weather with no play possible on the second day and a delayed start on Saturday.
The second test begins in Napier on Friday.
The penultimate day yesterday was the first not to be affected by bad light or rain since the test started on Thursday.
New Zealand were 44 for two at the close last night, an overall lead of 69. Tim McIntosh was on 24 and Daniel Flynn four.
The West Indies had a 25-run deficit on the first innings when they were bowled out for 340 in yesterday's final session, Jerome Taylor top scoring with 106 - his maiden test and first class century.
The test has been destined to end in a draw since play on Friday was washed out without a ball being bowled.
Saturday play was then delayed more than three hours while the outfield dried out.
