Stamkos has scored 14 points (four goals, 10 assists) during a nine-game personal point streak.
"You need your big guys to step up [when we have the number of injuries we do], and Stamkos has definitely done that," Lightning coach Jon Cooper said. "Good on him because when you have some of the injuries he's dealt with, that wears on you. … He was a big part of our Cup run last year, got time to get healthy over the summer, and he's really taken off again."
Ondrej Palat had two goals and an assist, and Andrei Vasilevskiy made 35 saves for the Lightning (17-5-4), who have won five in a row.
Anthony Cirelli was a late scratch and is day to day because of an upper-body injury that he aggravated in a 3-2 win against the Montreal Canadiens on Tuesday.
"It's definitely not easy, especially when you are losing the quality of players who aren't in the lineup for our group, but this group has never used that as an excuse," Stamkos said about the Lightning, who were also without forwards Brayden Point and Nikita Kucherov.
"Guys stepped up and it starts with our goalie, Andrei Vasilevskiy, [who] played great again. That's a really good team, and they're missing a couple [of] key guys, too, but they were playing some good hockey and we weathered the storm and played a pretty good third period I thought."