Morgan Geekie had the best look of the first period for Seattle when Jared McCann set him up for a shot on Vasilevskiy from in close. The Lightning goalie handled the shot and moments later Tampa Bay had a rush going the other way.
Bellemare scored off the rush, which came at 2:52 of the first period, with a quick snapshot from Grubauer's right that found the net on the glove side to make it 1-0.
"We were a half-step behind tonight," Kraken coach Dave Hakstol said. "Their puck speed got us. We never got them stopped in our zone and likewise in the offensive zone. We didn't create enough possession…we weren't able to create consistent tine in the offensive zone."
Tampa Bay had the early jump in the second and extended their lead to 2-0 just 31 seconds into the period when Colton found a loose puck in the high slot and fired it past Grubauer. It was the first shot of the period after the Lightning had scored on the first shot of the first period.
The Kraken outshot Tampa Bay in the second period and had their best chances, but the Lightning mitigated a lot of Seattle's looks by keeping the play mostly to the outside. When shots did get through, Vasilevskiy was there.
"They defended well, they skated well, and pushed us to the outside whenever we did have some offensive opportunities," Hakstol said. "In our own D-Zone we didn't get them stopped quick enough in order to have any energy left to go back offensively. When you spend that much time on the first half of your shift, you don't have a whole lot of gas left to go the other way."
Stamkos scored at 11:32 of the third period to make it 3-0 when he buried a one-time shot on a two-on-one chance down low.
Seattle will be back in action on Saturday when they visit the Florida Panthers at 6 PM PST.
"We get back at it tomorrow," Seattle's Jaden Schwartz said. "Get some rest and get back at it. We know there's another level, another level of intensity and digging in for each other."