Chandler Stephenson had a goal and two assists, and Stone had three assists for Vegas (25-12-2). Logan Thompson made 33 saves.
"Win's a win. You take these two points and put it in the standings, and we're happier with two than one," Stone said. "I really thought when were down 2-0 we were playing really good hockey. We played for a majority of the game, we were the better team. … We beared down and got the win. That's all that matters in this league is winning."
Kevin Lankinen made 27 saves for Nashville (15-14-6), which was coming off a 6-1 win at the Anaheim Ducks on Friday.
"I thought we got off to a good start early," Forsberg said. "We got the early goal there from a good play by [Colton] Sissons and [Juuso] Parssinen," Forsberg said. "I think our line was playing well, and then obviously the lines got shuffled around a little bit toward the end, but everybody was playing better in the third. And the last goal was obviously a good play on the blue line there by [Roman] Josi and [Matt] Duchene, and I just tried to hit the net."