Brees finished the game 27-of-43 in the passing department with one interception. One of his scoring strikes went to Jimmy Graham, who grabbed a 19-yard TD pass for his first career score.
Jabari Greer added a 24-yard interception return for a touchdown and Jeremy Shockey caught a 7-yard TD pass late in the first quarter but suffered a rib injury on the play and didn't return for New Orleans (6-3).
The Saints won for third time in four games while the Panthers (1-7) dropped their second straight.
Carolina signal-caller Matt Moore could complete only 3-of-6 passes for 13 yards before leaving with shoulder injury. Jimmy Clausen and Tony Pike finished up the game in relief.