New Zealand were made to work hard by minnows Scotland, losing seven wickets, before Daniel Vettori got the winning runs with a shaky edge.
Earlier, Scotland were 12 for four before a 97-run stand for the fifth wicket between Matt Machan and Richie Berrington got them to 142.
New Zealand 146 for 7 (Williamson 38, Davey 3-40, Wardlaw 3-57) beat Scotland 142 (Machan 56, Berrington 50, Anderson 3-18, Vettori 3-24) by three wickets.
Matches Tagged in ClipDex2015 World Cup NZL v SCO ...
Series Tagged in ClipDex2015 World Cup
Players Tagged in ClipDexWilliamson, Kane S Boult, Trent A Wardlaw, Iain Berrington, Richard D Vettori, Daniel L Machan, Matthew W McCullum, Brendon B Davey, Joshua H Anderson, Corey James
Grounds Tagged in ClipDexUniversity Oval
Categories Tagged in ClipDexLimited Overs (ODI & T20) World Cups