Yegor Chinakhov scored for Columbus to cut it to 3-1 at 6:39 of the second period with a snap shot from the top of the left circle.
John Marino pushed it to 4-1 with a wrist shot from the right circle at 19:38.
"We're locked into really playing our game and just playing it shift after shift and that's the team game," New Jersey coach Lindy Ruff said. "Everyone is tracking back and taking ice and time away. I think our defense is heavily involved and if you don't back them up ... that's what went wrong last year a few times."
Jonas Siegenthaler scored his first NHL power-play goal at 3:46 of the third period to make it 5-1, and Bratt scored at 12:47 for a 6-1 lead.
Bratt has four goals and 11 assists during his point streak. Only Tim Higgins (10 games, 1984-85) has recorded a longer season-opening point streak in Devils/Colorado Rockies/Kansas City Scouts history.
"Bratt has scored a couple of nice goals and has been making some nice plays," Ruff said. "But I think what we have to rally around is our team play, not one individual, not goaltending. Let's just rally around our team play and keep pushing forward."
Miles Wood scored at 14:47 for the 7-1 final.
"We want to reach something this year ... that's our goal," Siegenthaler said. "We don't want to sit back and be the 'young guys' like last year. We want to prove everybody wrong and, so far, we've done that. But there's lots of hockey left and we just got to make sure we stay consistent."