Point gave the Lightning a 1-0 lead with a power-play goal at 6:36 of the first period, his 31st goal of the season. Nikita Kucherov set up the play with his NHL-leading 59th assist.
"Losing the lead is tough at home," Point said. "We had a few chances where we could have scored. It was a tough game. Tough battle with some good saves both ways."
Joseph made it 2-0 at 14:19 of the second period when he was credited with his 13th goal of the season after a scrum in front of the net. The goal was originally waived off because of goalie interference, but a video review determined Golden Knights defenseman Colin Miller shoved Joseph into Fleury before the puck crossed the goal line.
Eakin pulled Vegas back to 2-1 at 16:28 of the second period with a breakaway goal off a pass from Jon Merrill.
"It was an unbelievable pass by Jon and Cody was able to finish it," Tuch said. "It gave us a little bit of a momentum boost, an energy boost. We played desperate, we played [ticked] off and it really helped us tonight."