New Zealand needed only 14 balls to crush Sri Lanka by 423 runs in the second Test on Sunday to clinch the two-match series 1-0 and claim a historic fourth straight series win.
Sri Lanka began the final day on 231-6 but was effectively seven wickets down because key man Angelo Mathews, who retired hurt on 22 on Saturday with a hamstring strain, was unable to bat.
Trent Boult bowled Suranga Lakmal (18) with the third ball of the day, Neil Wagner had Dilruwan Perera (22) caught off the second ball of the next over and Boult returned to trap Dushmantha Chameera (3) lbw in the third over.
Wagner finished with 4-48 as Sri Lanka ended on 236-9. Boult took 3-77 to complete match figures of 9-107 after his 6-30 in the first innings.
The home team won despite having been dismissed for 178 in the first innings, that total made competitive by lower-order batsman Tim Southee's 68. Southee was named player of the match.
Boult then achieved career-best figures as New Zealand bowled out Sri Lanka for 104.
New Zealand's series victory came after previous triumphs against Pakistan, England and the West Indies.
"It's a fantastic achievement," captain Kane Williamson said. "We wanted to play a little bit better to penetrate that fighting quality the Sri Lankans showed in the previous game. We were able to do that and come away with the win which was a great team effort, and in amongst that were some great individual contributions."
New Zealand's recent successes are due in large part to the excellent batting form of Latham, Nicholls and Williamson.
"Both those guys, along with everyone else at some time, have been contributing brilliantly," Williamson said.
Sri Lanka had hoped to take some positives out of the series ahead of five one-day matches against New Zealand and tough test assignments against Australia and South Africa.
"It's disappointing," captain Dinesh Chandimal said. "The way we batted in the first innings in both Test matches was not good.
"But I'm really happy with the way we played in the second innings. We fought hard as a team and that's a plus point for us. But we have to learn how to get a good start, especially in the first innings."