CALGARY, Alberta -- When Alex Killorn scored a short-handed goal 37 seconds into the third period to give his Tampa Bay Lightning a four-goal lead, he didn't really think too much of it at the time.

The Calgary Flames then responded with two goals in 21 seconds to pull within two goals before Killorn secured a 6-3 win for the Lightning with an empty-netter.

"It's a goal that you don't think at the time means anything," said Killorn, who swatted his own rebound past Calgary goalie Brian Elliott. "When you get a PK goal, I think it's huge. It was kind of a lucky goal, but you take them."

Killorn, who had gone eight games without recording a point, also registered an assist for his first three-point performance of the season.

"It wasn't the start we wanted, but I'm pretty happy with the resiliency of our group coming back," said Killorn, whose squad fell behind 1-0 before reeling off five straight goals. "You can't always control the way that the game starts, but you can control how you respond to that, and I think we responded really well."

Brian Boyle, who had gone 13 games without scoring, also had two goals for the Lightning (15-13-2), who ended a three-game losing streak.

"That's a really good team over there," said Boyle of the Flames (16-14-2), whose winning streak ended at six games. "A lot of speed, a lot of skill. They're tough to play at home, and they've been hot. They're probably aware of where we're at as a club, and they probably had some confidence even being down."

Braydon Coburn and Andrej Sustr also scored for Tampa Bay, while Victor Hedman and Valtteri Filppula chipped in with three assists each.

Lightning goaltender Ben Bishop made 19 saves to improve his record to 9-10-1.

Troy Brouwer and TJ Brodie finished with a goal and an assist each for the Flames, while Micheal Ferland also scored.

"It's a shame, because I actually thought we were pretty good to start the game and I liked where we were at, but then we kind of let a couple floater shots from the point get through -- things that are uncharacteristic of us," Brouwer said. "We're normally in good lanes to block those. Then giving up the short-handed goal to start the third killed our momentum."

Chad Johnson started in net for the Flames and gave up four goals on 21 shots through two periods. Brian Elliott made 12 saves while yielding one goal in the third period.

"It was just a weird, weird game and some weird goals," Johnson said. "That's how hockey is sometimes. You don't always get the breaks, and sometimes games like this happen."

Brouwer opened the scoring at 3:06 of the first period when he tapped a pass from Sean Monahan through Bishop's legs for a power-play goal to give the Flames an early 1-0 lead.

The Lightning capitalized on a man advantage at 10:04 when Boyle tipped Hedman's point shot in behind Johnson.

Boyle then put Tampa Bay up 2-2 at 13:42 when he took a pass from Filppula and broke in alone into the Calgary zone before making a quick move and depositing a backhand shot past Johnson.

At 4:40 of the second period, Coburn blasted a shot from the point past Johnson, who was screened by Vladislav Namestnikov on the play.

The Lightning then went up 4-1 with 1:13 remaining before the second intermission when Sustr's wrist shot from the point found its way past Johnson.

After Killorn's short-handed tally, Brodie fired a point shot past Bishop at 3:59 of the third before Ferland converted a pass from Matt Stajan 21 seconds later to pull the Flames within two goals, but that was as close as Calgary would get.

NOTES: Lightning RW Nikita Kucherov left Tuesday's practice in Tampa Bay with an undisclosed ailment, which kept him out of Wednesday's game against the Flames. Lightning coach Jon Cooper had no update on Kucherov's condition after the game. ... Tampa Bay's other scratches were D Nikita Nesterov and RW Erik Condra. ... The Lightning made a pair of roster moves Wednesday, recalling C Cory Conacher from the AHL's Syracuse Crunch while sending D Luke Witkowski the other way. The Lightning also recalled Condra and D Slater Koekkoek from Syracuse on Monday. Koekkoek was sent down to the AHL for two games to get some playing time. ... Flames RW Kris Versteeg returned to the lineup after missing the previous two games with an upper-body injury. Prior to his injury, Versteeg registered two goals and four assists during a five-game point streak. ... Calgary's healthy scratches were C Freddie Hamilton, RW Garnet Hathaway and D Tyler Wotherspoon. ... Lightning D Victor Hedman played in his 500th NHL game.