Newton went 14-of-20 through the air and compiled 71 rushing yards on 13 carries for the Panthers, who rebounded from a loss to the Tampa Bay Buccaneers in last week's season opener.
Steve Smith led the Carolina receivers with three catches for 104 yards.
Brees finished 31-of-49 for 325 yards with a touchdown and two interceptions for New Orleans (0-2).
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