The Devils grabbed a 1-0 lead with 1:31 remaining in the first, as Dainius Zubrus recovered the puck behind the net and fed Sykora in front for the one- time tally.
Boston, meanwhile, appeared stymied, getting just six shots on net in both the first and second periods. Its woes came to a hasty halt in the third when Ference smoked a slap shot past Brodeur from the left point at 3:01.
Horton and Campbell continued the surge four minutes later, scoring 35 seconds apart on a tip-in and a rebound, respectively. Horton's 17th of the season came on the power play and Campbell's came after a spirited flurry in front of the net.
Kelly added an empty netter with 47 seconds left to seal the final result.
The Bruins got forward Brad Marchand back from a five-game suspension. He skated a little over 16 minutes...Boston has won all three meetings between the teams this season.