Trent Boult took career best one-day figures as New Zealand completed a tense 24-run win and NZ regain the Chappell-Hadlee Trophy with a 2-0 series victory.
Rain washes out second one-day international between New Zealand and Australia in Napier on Thursday.
New Zealand opener Martin Guptill will miss the 2nd ODI against Australia because of a hamstring twinge.
All-rounder Stoinis picked up a three-wicket and smashed an unbeaten 146 but Australia fell short by six runs.
Australian captain Steve Smith has been ruled out of the upcoming New Zealand tour after injuring his ankle in the final ODI against Pakistan.
David Warner and Usman Khawaja will rested from one-day Chappell-Hadlee series and prepare for tour of India.
Wicketkeeper Tom Blundell is the sole newcomer in the 14-man New Zealand squad announced Saturday for the three-match Chappell-Hadlee series against Australia which starts next week.
The Blackcaps host South Africa, Australia, Pakistan and Bangladesh in 2016-17.
