Kiwi captain Amy Satterthwaite provided the highlight of the innings with her spectacular one-handed catch at slip to remove Lanning for six.
Satterthwaite could hardly believe her luck after quickly moving her hand to her right and plucking the flying ball off the bowling of debutant Rosemary Mair.
Alyssa Healy (4), Ellyse Perry (6), and Beth Mooney (13) were other high-profile Australian batters to fail. Australia slumped to 5-125 in the 29th over. But solid knocks from Ashleigh Gardner (34 off 36 balls) and Jess Jonassen (36 off 32) ensured Australia batted out most of their overs.
Star Kiwi all-rounder Sophie Devine finished with 3-32 from her 10 overs, while right-arm quick Lea Tahuhu (1-36) and Mair (2-35) set the tone early.
Australian speedster Nicola Carey was ruled out of the match with a back injury, but hopes to play in Sunday’s second ODI in Adelaide.