Skipper Dimuth Karunaratne led by example, hitting a sparkling 122 to help secure Sri Lanka's six-wicket victory over New Zealand in the opening Test at Galle on Sunday.
Chasing 268 to go 1-0 up in the two-Test series, Karunaratne's 161-run opening stand with Lahiru Thirimanne (64) set the tone for a successful chase at the Galle International Stadium.
The New Zealand spinners claimed two wickets in successive overs to try to prevent it from being a cakewalk but Karunaratne's ninth Test century effectively killed off the conTest.
Karunaratne stroked six fours and hit one six before the right-hander perished when he was caught behind chasing a wide Tim Southee delivery.
The second and final Test in Colombo begins on Thursday.
"It's not easy chasing in the fourth innings. We needed a good partnership, and that's what Thirimanne and I discussed," Karunaratne, the man-of-the-match, said.
"On the fifth day, we started well and wanted to keep at it. Once you're set, you have to make a big one. We are thinking of keeping the basics right for the next Test too."
Resuming the final day on 133 for no loss, the opening pair continued their good work until Will Somerville trapped Thirimanne lbw on review after the initial appeal was rejected.
Kusal Mendis (10) looked in a hurry to seal the match as he hit Somerville for a six and a four before his attempted sweep off Ajaz Patel found Jeet Raval at mid-wicket.
Karunaratne brought up his 100 with his fifth boundary, raising his hands aloft to celebrate the mark.
Kusal Perera made a quick 23 including five fours and Angelo Mathews (28 not out) hit the winning run as Sri Lanka romped home in an extended morning session and clinched 60 points in the newly created Test championship.
New Zealand skipper Kane Williamson felt 268 would have been a daunting target had the Galle pitch behaved traditionally.
"I think we'd have definitely taken 268 sort of under the understanding that the surface would wear and tear considerably which we have seen in the past which certainly wasn't the case," he said.
"It probably just slowed down throughout the Test match but it was a good surface and I guess a number of learnings for us to take away from this game. Not far off but we need to be better collectively for a longer period."
New Zealand 1st innings 249
Sri Lanka 1st innings 267
New Zealand 2nd innings 285
Sri Lanka 2nd innings (target 268, overnight 133-0)
D Karunaratne c Watling b Southee 122
L Thirimanne lbw b Somerville 64
K Mendis c Raval b Patel 10
A Mathews not out 28
K Perera c Santner b Boult 23
D de Silva not out 14
Extras: (b6, lb1) 7
Total: (for 4 wkts, 86.1 overs) 268
Fall of Wicket: 1-161, 2-174, 3-218, 4-250
Bowling: Boult 9.1-1-34-1, Southee 12-2-33-1, Somerville 31-6-73-1, Patel 18-0-74-1, Santner 13-2-38-0, Williamson 3-0-9-0
Result: Sri Lanka won by six wickets.