Hall scored on a penalty shot after being hooked from behind by Brady Skjei on a breakaway to make it 5-1 at 15:45.
"I just saw [Lundqvist's] glove hand open," Hall said. "Maybe he thought I was going to go five-hole after scoring a few there lately, but I saw it and just tried to get it off my stick as quickly as I could."
Hall heard chants of "MVP" from Devils fans after several big plays.
"It's not something I'm used to, to be honest," Hall said of the chants. "As a player, and as I've gotten older, it's become less and less about what I'm doing and how many points I'm getting and more how can I help the team. How can I contribute."
The Devils took a 3-0 lead in the first period on goals by Zajac (25 seconds), and Hall (3:41) and Butcher (10:40) on the power play. The Rangers made it 3-1 when Ryan Spooner redirected a pass by Jimmy Vesey from the slot at 17:47.