Benoit Pouliot paced an offensive attack with 0.
Tim Thomas only needed to make 13 saves for his fifth shutout of the season for the Bruins, who went 6-0 against Toronto this season. Boston became the first of these teams to sweep the other in a season series since the Maple Leafs joined the Eastern Conference in 1998-99.
The Bruins now have 87 points and sit three points ahead of idle Ottawa for first place in the Northeast Division.
James Reimer started in net for Toronto and gave up four goals on nine shots in the first period. Jonas Gustavsson came on in relief and turned aside 11- of-15 shots.
The Maple Leafs went 2-3-0 on a five-game road trip.