Ryan went 22-of-32 through the air for 236 yards and improved his home record as a starter to 20-2 for the Falcons (13-3), who took their first NFC South title since 2004.
Atlanta also got 67 yards and a score from Michael Turner and Roddy White grabbed six passes for 62 yards, adding a touchdown for the Falcons, who finished with their best record since going 14-2 in 1998 -- the year the franchise made its only Super Bowl appearance.
Tony Gonzalez hauled down six passes for 53 yards and a score in the victory.
The Panthers (2-14), meanwhile, lost in their last game under fired head Coach John Fox.
Fox took Carolina to two NFC Championship games and one Super Bowl while compiling a 73-71 regular-season record.