Meier has seven points (three goals, four assists) in four games since returning to the lineup after missing three games with an upper-body injury. The Sharks went 1-2-0 with him out of the lineup and are 3-1-0 since he returned.
"He's a critical guy," Sharks coach Peter DeBoer said. "He's on pace for probably 40 goals right now. Critical piece for us. Gives us power and speed and energy and possession. You take that type of player out of anyone's lineup and you're going to feel the effects. It's nice to have him back."
WATCH: [All Devils vs. Sharks highlights]
Radim Simek scored his first NHL goal, Joe Pavelski and Tomas Hertl each had a goal and an assist, and Martin Jones made 22 saves for San Jose (16-11-5), which has won four of its past five games.
Drew Stafford and Andy Greene each scored his first goal of the season, and Keith Kinkaid made 29 saves for New Jersey (10-13-6), which has allowed at least four goals in eight of its past nine games (1-4-4).
The Devils, who lost 6-5 in a shootout to the Anaheim Ducks on Sunday, completed their California road trip 1-1-1.
"It's tough to win when you keep finding ways to beat yourselves," Devils forward Travis Zajac said. "We just miss consistency in some areas of the game and that hurt us tonight. We keep finding ways to hurt our game. We can't consistently string together any momentum."
Stafford gave New Jersey a 1-0 lead at 12:05 of the first period on a wrist shot from along the right wall.
Meier tied it 1-1 at 15:51, scoring blocker side from the right circle on a rush.
"It's always a shot that I like, coming down that wing," Meier said. "It's one of my strengths. It's been working for me. It's part of confidence, too. But it's definitely something I try to work on, finishing some plays off, and it's been working out."