Phillip Danault and Brendan Gallagher each had a goal and an assist, and Carey Price made 26 saves for the Canadiens (13-8-8), who were coming off a 4-2 win here Monday.
"I saw a dedicated team I think that was hungry, that didn't accept to lose," Danault said. "I really appreciate the effort that the guys, we all did together. We all know the Jets are a really good team defensively, and we played really good defensively in the third and didn't give up anything. We're stronger, we're winning our battles, and we got a great -- a big point actually, but not enough."
Gallagher cut it to 3-2 at 5:58 of the third period when he tucked a shot five-hole following a face-off win by Danault, and Tyler Toffoli tied it 3-3 with 1:25 remaining on a one-timer from near the left post.
"I think the games where you're struggling a little bit, we've got to play smarter," Gallagher said. "I thought they were taking it to us. They played well, but we probably just made some mistakes. If we maybe simplify our game, give ourselves some time to settle ourselves into it, then we don't have to come back from two goals."