The Golden Knights power play did not have a shot on goal after Nico Sturm was called for high-sticking at 14:10.
"Our penalty kill has been outstanding all year, and our power play, after a tough start, has been very good," Quinn said. "I just had a feeling. We killed it off and did a great job killing it.
" … When [our] power play happened, there was a level of excitement. You could just feel it. It was a big-time goal by Timo."
Couture (18:09) and Mario Ferraro (19:44) each scored an empty-net goal for the 5-2 final.
The Sharks finished 3-1-0 on a four-game road trip.
"Every time we play Vegas, obviously, there's a rivalry between us," Meier said. "It's always a hard game. They're a good squad over there. They have a lot of talent. It just felt nice to get a win at the end of a road trip."
NOTES: Eichel's goal was his 400th point. … Golden Knights forward Chandler Stephenson had an assist to extend his point streak to four games (one goal, six assists).