Mike Rupp, Zach Parise and Brian Gionta had the other New Jersey goals.
Radim Vrbata, Martin St. Louis and Ryan Malone scored for the Lightning, who are 1-1-2 under interim coach Rick Tocchet.
Lightning starting goalie Mike Smith didn't play due to an undisclosed lower-body injury. Olaf Kolzig replaced Smith, who is day to day.
Rupp put the Devils up 1-0 at 1:44 of the first on a nifty redirection from the left circle, which snapped a personal 19-game goal-scoring drought.
Parise made it 2-0 from the top of the left circle during a delayed penalty call with 2:23 left in the first.
Zubrus extended the New Jersey lead to 3-0 when he scored his first goal in 11 games at 1:58 of the second. His second goal of the game, coming 2 minutes, 36 seconds later, gave the Devils a four-goal advantage.
Kolzig, who received little support from his teammates, was pulled and replaced by Karri Ramo after Gionta scored to make it 5-0 with 8:21 left in the second. Kolzig gave up five goals on 30 shots.
The Lightning battled back after the goalie switch, scoring three quick goals. After goals by Vrbata (13:08) and St. Louis (14:40), Malone cut the Lightning deficit to 5-3 by beating Devils goalie Scott Clemmensen on a penalty shot with 3:18 left in the second.
