Hughes scored his second goal of the game and team-best eighth of the season to send New Jersey on its longest winning streak since it earned 13 straight victories early in the 2022-23 season.
Defenceman Simon Nemec had three assists for the Devils, who have won eight straight since a season-opening loss at Carolina. Allen improved to 5-0-0. He has been starting since Jacob Markstrom was injured late in a win Columbus on Oct. 13.
Connor Brown put New Jersey ahead at 12:51 of the second, but Coloradoâ€s Brock Nelson tied the game at 13:55 of the third with his second goal of the season.
Brown beat backup Avalanche netminder Trent Miner on a breakaway at 12:51 for his fifth goal. The 31-year-old Brown joined the Devils as a free agent and been a key part of New Jerseyâ€s early success this season.
Rookie Arseny Gritsyuk also scored for New Jersey.
Valeri Nichushkin and Nathan MacKinnon also scored for the Colorado, which dropped its second game in two days after opening the season 5-0-3. The Avalanche lost 3-2 at Boston on Saturday.
Gritsyuk scored his second goal of the season at 9:09 of the opening period. Hughes made it 2-0 at 9:48.
Nichishkin scored his fifth of the season at 12:55 of the first. MacKinnon then scored his seventh at 17:03 to send the teams into the first intermission tied at 2.
Miner made 20 saves in his first start this season. Scott Wedgewood has started Coloradoâ€s other nine games with starter Mackenzie Blackwood injured.
Devils: Visiting Avalanche on Tuesday to complete home and home and start a four-game road trip.
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