The Kiwis made their early pressure count in the 14th minute with Amy Robinson making a cutting baseline run before linking up with Rachel McCann to slot into goal.
Just three minutes later the Black Sticks were on the board again when Tess Jopp got the final touch on Ella Gunson's hard shot at goal from a penalty corner.
McCann scored her second goal of the match close to halftime following a fantastic length of the turf team counter attack.
Despite chances at both ends of the field, neither side troubled the scorers in the second half.
New Zealand's top umpire Kelly Hudson from Tauranga celebrated officiating her 100th international test during the match.