Both goaltenders were sharp as Miller made a quality save on Toronto's Leo Komarov while Scrivens twice denied Thomas Vanek with a nice split-pad save.
The Maple Leafs looked to have taken a 1-0 lead midway through the period, but a potential goal was called back due to incidental contact by Toronto's Leo Komarov on Anderson.
Rookie Leo Komarov and Tyler Bozak scored, Reimer made 27 saves, and the Maple Leafs held New Jersey without a shot during a 64-second, two-man advantage and earned a 2-1 victory on Saturday night that extended the reeling Devils' losing streak to six games.