Despite allowing the two power-play goals, the Bruins did kill six penalties, including a double minor to Andrew Ference in the second period.
The Bruins allowed their first power-play goal at home in the third period Thursday night, but were hit with two in a 3:06 span of the first period Saturday.
On the first, Stamkos extended his points-scoring streak to nine games. Killorn then scored his third nifty pass work by Teddy Purcell (two assists) and Martin St. Louis (21 assists this season).
Boston struck quickly in the second period -- both goals one-timers scored from the same sharp angle Stamkos scored from in the first.
Seguin scored his first goal in five games, at 3:22, and Peverley then took a pass from Adam McQuaid and scored from the same spot, at 4:39.
NOTES: Pierre-Cedric Labrie of Tampa Bay and Adam McQuaid engaged in a spirited first-period fight, while Gregory Campbell of the Bruins and B.J. Crombeen went at it in the second. The fights were the first in eight games for Boston, and came with Bruins tough guy Shawn Thornton a healthy scratch. ... Tampa scratched defenseman Sami Salo and winger Adam Hall. ... Veteran Jay Pandolfo, a local native playing his first home game as a Bruin, replaced Thornton and played the fourth line, while coach Claude Julien shifted Daniel Paille up to the third unit and dropped Chris Bourque to the fourth. ... Former Bruin Benoit Pouliot left the game because of an upper-body injury after a first-period boarding penalty by Dennis Seidenberg, one of four boarding calls in the game, three against the Bruins. "Pouliot is out and I don't know for how long," Boucher said. ... The Bruins end their three-game (in four days) homestand against the Canadiens Sunday night, while Tampa Bay played the second game of a four-game trip and moves on to Pittsburgh on Monday night. "It should be an interesting game; I like those kind of games," Julien said. ... This was supposed to be the second TD Garden game between the teams but Tampa's first visit was postponed (with the Lightning already in Boston) because of a blizzard, and re-scheduled for April 25.