Nick Bonino, Erik Karlsson, and Timo Meier scored for the Sharks. Forward Michael Eyssimont had two assists for his first points since joining San Jose less than two weeks ago when he was claimed off waivers from Winnipeg. James Reimer made 35 saves.
With 3:59 left in the first period, players left the ice due to a damaged Zamboni door along the boards. Intermission was started early, and the teams played the remainder of the first period after the break.
The Sharks scored both of their first-period goals once play resumed. Meier scored at 16:44 and Karlsson's power-play goal came with just 3.7 seconds remaining in the period.
Hischier tied the game just 11 seconds into the third period with his 20th goal of the season.
Bonino spun the puck into the net for his sixth of the season just after a San Jose power play expired, giving the Sharks the lead.
With New Jersey's goalie pulled, Hughes beat Reimer for his 29th goal of the season, tying the game and forcing overtime.
200 WITH SAN JOSE
With his goal at the end of the first, Karlsson has 200 points as a member of the Sharks.
Devils: At Seattle Kraken on Thursday.
Sharks: Host the Dallas Stars on Wednesday.
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Max Miller, The Associated Press