Brees threw for 263 yards and three touchdowns Sunday, leading the Super Bowl champions to a 31-6 victory over the Tampa Bay Buccaneers.
The Saints rebounded from a mistake-filled road loss that dumped them into third place in the NFC South, scoring on their first three possessions and getting an unexpected lift from rookie running back Chris Ivory.
The Saints (4-2) amassed 475 yards total offense and weren't forced to punt until early in the fourth quarter.
Tampa Bay (3-2) was held scoreless until Josh Freeman led a long fourth-quarter touchdown drive aided by a pair of personal foul penalties for a late hit on the second-year quarterback.
New Orleans committed four turnovers, including three interceptions, in a 30-20 loss to the Arizona Cardinals last week.
Brees completed eight of his first nine attempts against the Bucs, including TD throws of 41 yards to Lance Moore and 42 yards to Robert Meachem. Those scores were the first two times the Saints touched the ball against a defense that had been one of the keys to a surprising start that had Tampa Bay ahead of New Orleans in the division.
The Saints began the day next to last in the NFL in rushing, averaging 75.6 yards per game. Ivory had not been much of a factor, gaining 119 yards through the first five weeks of the season. But the undrafted free agent out of Division II Tiffin set the tone for a big day with an 18-yard carry up the middle on his team's first play.
Freeman completed 25 of 43 passes for 219 yards and one TD, a 2-yard throw to Micheal Spurlock on fourth-and-goal with just over five minutes to go. A 2-point conversion attempt failed, New Orleans recovered an onside kick and scored on Betts' 1-yard touchdown that left Saints fans in the announced crowd of 51,759 chanting "Who Dat!"
Tampa Bay entered having won five of seven dating to a come-from-behind overtime against the Super Bowl champions late last season. The stretch of success has highlighted the growth of Freeman and a young defense that's gotten better since coach Raheem Morris began serving as defensive coordinator.
New Orleans scored on its first three possessions, going 94, 80 and 77 yards to build a 17-0 lead on the touchdowns by Moore and Meachem, plus Garrett Hartley's 27-yard field goal.
New Orleans came up empty again when an offensive pass interference call on Jimmy Graham denied the Saints quarterback a TD pass. Three plays later, Hartley hooked a 33-yard field goal attempt wide left. Tampa Bay didn't force New Orleans' only punt of the afternoon until three minutes into the fourth quarter.
Two promising Buccaneers drives ended with Connor Barth missing field goal attempts of 40 and 47 yards. Two unnecessary roughness penalties on Saints safety Malcolm Jenkins for a late hit on Freeman out of bounds fueled an 88-yard drive that enabled Tampa Bay to avoid being shut out.