Ryan Caprenter scored at 7:24 to deny Vasilevskiy a fourth straight shutout.
Vasilevskiy broke the Lightning record of 202:46, which was set by John Grahame in 2005-06.
Brian Boucher holds the modern-era NHL records for most consecutive shutouts (five) and longest streak without allowing a goal (332:01), set from Dec. 22, 2003 through Jan. 11, 2004, with five straight shutouts from Dec. 31-Jan. 9 for the Phoenix Coyotes.
Vasilevskiy had the 15th streak of three straight shutouts in the NHL since Boucher had five. Ilya Bryzgalov has the second-longest streak of the modern era, 249:43 with the Philadelphia Flyers from March 6-15, 2012. The NHL recognizes the modern era as beginning with the 1943-44 season, when the center red line was introduced.
"A lot of guys have done back to back (shutouts) and you feel good, it feels awesome and you know your stats are reflecting it," Boucher said this week. "But once you get halfway through two and a half (games) you start to feel like, 'Man, I've got something cooking here.' You start to feel that you might not get beat. How long that lasts is the big question, but the confidence you feel when you have this going is just something you don't feel all the time. It's just weird, hard to describe. You start to almost feel like you're superhuman."
Vasilevskiy made 73 saves in his three straight shutouts and 108 in the shutout streak of more than 11 periods. He hadn't allowed a goal since Feb. 22, when Carolina Hurricanes forward Jesper Fast scored on a power play at 19:15 of the second period.
Vasilevskiy made 25 saves in a 3-0 win against the Hurricanes on Feb. 24, 20 saves in a 5-0 win against the Dallas Stars on Feb. 27, and 28 saves in a 2-0 win against the Stars on Tuesday.
He was 13-3-1 with a 1.65 goals-against average, .942 save percentage and three shutouts entering Thursday.
"You can give him the first, second and third (place) votes for the Vezina (Trophy)," Boucher said of the award for best NHL goalie. "Just from a pure talent standpoint he is the best goalie in the League. Whether he wins the Vezina or not, nobody matches up to his capabilities in net. No chance. Some people have talent and never live up to the expectations. He's living up to the expectations. We're not clamoring for more. We're wondering if he can get more, but we're not clamoring for it. We see greatness."
