Toronto goalie Ben Scrivens had his bid for a third consecutive shutout thwarted midway through the first period on Lecavalier's goal. The Maple Leafs, 7-3-0 on the road this year, got goals from Mikhail Grabovski and Phil Kessel.
Stamkos put the Lightning up 2-1 from just outside the crease off a pass from Cory Conacher at 4:56 of the second.
Killorn made it 3-1 when his bouncing shot trickled past Scrivens 2:49 into the third. Carle ended Scrivens' night on a power-play goal with 13:02 to play.
Jussi Rynnas replaced Scrivens.
Kessel cut the Toronto deficit to 4-2 late in the third.
Lecavalier opened the scoring at 9:25 of the first on a wrist shot from the low left circle that stopped Scrivens' shutout streak at 154 minutes, 16 seconds.
Both teams received two fighting majors in the third, which included a pair of scuffles.
NOTES: Stamkos has nine goals and 20 points in 17 games against the Maple Leafs. ... Toronto G James Reimer missed his fourth straight game because of a knee injury. ... Lecavalier has two goals and five points during a five-game point streak. ... Grabovski stopped an 11-game goal drought. ... Carle's goal was his first against Toronto, in his 19th game.