New Zealand began their innings with a 56-run partnership for the first wicket, before Tom Latham got out for 22.
Martin Guptill, the other opener, settled into a fruitful partnership with No. 3 Kane Williamson. He scored 156.
The two added 173 in 38.5 overs.
Williamson added another bulky knock of 88 to his productive year.
Nuwan Pradeep, the fast bowler, broke the partnership, inducing an uncontrolled stroke off Williamson for a catch to slip.
Brendon McCullum smashed 13 fours and a six in his 57-ball 75.
Dushmanth Chameera took a couple of late wickets so Sri Lanka could get into New Zealand's tail.
Suranga Lakmal, who had taken the first wicket of Latham, took the eighth wicket, that of Tim Southee. New Zealand finished eight down for 409.
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