Maria Fahey (42) and Aimee Watkins (33) were instrumental in New Zealand reaching 141-7 to set an imposing target for the home team.
Shelley Nitschke (56) was once again in fine form with the bat as she led the victory chase, with her innings coming off just 45 balls, but she didn't receive the support she needed as her side ended up seven runs short.
The sides will now head to New Zealand for a return series.
