Newton made good on 23-of-37 passes and overcame a pair of interceptions for the Panthers (5-3), who moved within one game of New Orleans in the NFC South.
Greg Olsen led the Carolina receiving corps with four catches for 66 yards and a touchdown.
The Falcons (2-6) remained winless on the road as Matt Ryan was picked off three times. He finished with 219 yards and a TD pass on 20-of-27 efficiency.
Steven Jackson picked up 57 rushing yards on 13 carries.
Tony Gonzalez made six grabs for 81 yards and a score for Atlanta.