Stone cut it to 4-2 at 12:34, scoring a power-play goal with a one-timer from the left hash marks off a pass by William Karlsson from the left post.
"Some of the penalties we took took some of the steam out of us," Anaheim coach Greg Cronin said. "I think it gave them a lot of energy."
Leason, who lost his stick on Stone's power-play goal, responded to make it 5-2 at 17:45 on a rebound in the slot.
Vegas has allowed 20 goals during its losing streak.
"We've got to figure this out," Martinez said. "As a team, you look at the last four, five, six games, giving up four-plus goals, that's not what we do. I think that's a lack of attention to detail, not playing a team game. I think we've been disconnected. I think we've got to play more together as five and support each other all over the ice."
NOTES: Anaheim previously scored four goals in the third period of a 4-2 win against Vegas on Nov. 5. ... Stone extended his road point streak to eight games (four goals five assists). He has 15 points in his past 10 games overall (five goals, 10 assists). ... Golden Knights forward William Carrier missed his second straight game with an upper-body injury. ... Vegas went 1-for-5 on the power play. Anaheim was 0-for-1.