Ryan Craig, Dan Boyle, Brad Richards and Nikita Alexeev also scored for the Lightning, who are 4-0-1 in their last five games.
Marian Hossa had two goals and an assist for Atlanta, and has 14 points during his seven-game points streak. The Thrashers have lost two in a row after a four-game winning streak.
St. Louis assisted on Lecavalier's goal from in close with 4:31 left in the second that put Tampa Bay ahead 4-0. St. Louis has 10 goals and 10 assists, while Lecavalier has eight goals and 10 assists during their respective streaks. Tampa Bay's record for points is 13 straight games, held by Brian Bradley (1992), St. Louis (2004) and Vinny Prospal (2005).
St. Louis had a penalty shot with 9:02 left to play, but was was stopped by Thrashers goalie Kari Lehtonen.
Craig put the Lightning up 1-0 when he redirected Boyle's shot on the power play with 2:05 left in the first. Boyle made it 2-0 lead with a power-play goal at 4:58 of the second, ending a 20-game goal-scoring drought.
After Richards and Lecavalier scored, Hossa cut it to 4-1 on the power play with 32 seconds left in the second. Hossa made it 4-2 at 8:56 of the third. Alexeev and Atlanta's Steve Rucchin scored later in the third.
Notes: Atlanta D Andy Sutton received a five-minute slashing penalty and a game misconduct before St. Louis' penalty shot. ... Thrashers D Shane Hnidy has played in 200 games since scoring his last goal on Mar. 21, 2002 against the New York Rangers. ... The Lightning have outscored their opposition 29-13 during the second this season.