Howden gave the Golden Knights a 1-0 lead at 5:25 of the first period when he scored from the slot on a rebound off a shot from Carrier.
Carrier made it 2-0 at 14:56 of the second period when his shot deflected off Vasilevskiy's stick and bounced off Lightning defenseman Fredrik Claesson. It was Carrier's first goal in 15 games.
"We might not have any points without the depth scoring we're getting between the fourth line (Carrier, Howden, Keegan Kolesar) and the defensemen," Vegas coach Peter DeBoer. "It's been critical. They keep it simple. I think when you're playing a goalie like Vasilevskiy, you're not going to beat him with a clean shot."
Colton cut it to 2-1 at 13:12 of the third period with a one-timer off a pass from Perry three seconds after a Lightning power play expired, and Perry tied it 2-2 at 17:12 on a scramble in front of the net after Vasilevskiy was pulled for an extra attacker.
"I think we were passing up shots a lot throughout the first two periods," Colton said. "We had chances in the slot where we were trying to make the cute pass. In the third period, we had a shot-first mentality, we were peppering him. I think shots were like 17-1. We can't wait until the third period to start doing that."