Palat cut it to 2-1 at 2:49 of the third period, putting the rebound of Hischier’s shot past the glove of Vasilevskiy from the low slot.
Steven Stamkos responded for the Lightning to make it 3-1 at 3:49. He scored on a rebound near the right post past Vanecek, who was sitting on the ice after making a glove save on Nick Perbix.
“When we get scored on, it just seems that the next line that goes out there kind of lifts the team up,” Hagel said. “Obviously, tonight ‘Stammer’ goes out there and scores right after, so that’s obviously a positive. That’s something that’s helping our team win.”
Jesper Bratt cut it to 3-2 at 7:19 with a wrist shot from the right circle off a rush that trickled under Vasilevskiy.
Point pushed it to 4-2 at 13:52 from the slot after he intercepted Kevin Bahl's pass.
With Vanecek pulled for the extra attacker, Tyler Toffoli got the Devils to within 4-3 at 17:22.
However, Hagel made it 5-3 with an empty-net goal at 18:21, and Point added another at 19:06 for the 6-3 final.
“Just all around not a good game for us,” Hischier said. “We need emotion on the bench. We were bad in the first and second period, and even in the third, we had a few good shifts, but I think we’ve got to play with a little bit (of) emotion and sometimes be [ticked] off. We (were) soft tonight in front of our net.”
NOTES: Toffoli’s goal was his 500th NHL point. … Hedman has 41 assists this season. It his eighth season with at least 40 assists, tying Martin St. Louis for the most in Lightning history. … Kucherov has 10 points (four goals, six assists) in a four-game point streak.