"Big achievement, I'm proud of it," he said. "Obviously, I want to thank my teammates for that because I can't win on my own. It's great teamwork."
Vasilevskiy is the Lightning all-time leader in wins (200-86-22) and shutouts (28). He reached 200 wins in 318 games, second-fastest in NHL history behind Ken Dryden (309).
Pierre-Edouard Bellemare scored his first goal of the season for Tampa Bay (12-4-3), which has won three games in a row and six of its past seven.
"That's how we're winning," Lightning coach Jon Cooper said. "So we're playing D, trying to keep things to the outside, and if things break down, the goalie's there and everybody's chipping in. And especially with some of the guys we have out, it's much needed. It's been a really solid team effort."
Philipp Grubauer made 23 saves for Seattle (6-13-1), which is 1-7-1 on the road.
"We were a half step behind tonight," Kraken coach Dave Hakstol said. "We didn't create enough pressure in the offensive zone. We needed to be better at winning pucks in both zones."
Bellemare made it 1-0 at 2:52 of the first period with a snap shot from the left face-off circle inside the far post.