Vladar made 25 saves after Jacob Markstrom was ruled out late because of the flu. Calgary signed goalie Dustin Nickel to an amateur tryout agreement to backup Vladar prior to the game.
"As soon as I got in, I thought it was a joke, until the national anthems," Vladar said. "Then I was just trying to give our team a chance to win like I'm trying to do every single game. Obviously, it turned out to probably be my best game of the season."
William Karlsson scored, and Hill made 32 saves for the Golden Knights (14-5-3), who have lost four of five (1-2-2) and have scored two or fewer goals in four straight.
"Not our best, not our worst, either," Vegas forward Nicolas Roy said. "It just feels right now that we don't find ways to win. Obviously, every team in this league is going to have bad stretches. We're in one right now. We're such a good team. We found ways to win last year. We've just got to bury one when we have the chance and get those wins, for sure."
Karlsson put Vegas ahead 1-0 at 13:53 of the first period with a power-play goal, scoring into an open net on a rebound in the left circle.
Vladar kept it a one-goal game at 4:36 of the second period when he fully extended his left pad to make a toe save on Roy during a 2-on-1.
"You just keep coming," Golden Knights defenseman Brayden McNabb said. "Stay positive. Chances are coming. Just bearing down. They'll go in. We know how it works. We just have to keep grinding away."