A method of making a paperboard carton blank to be folded to form a carton having a top wall, a bottom wall, and two side walls, the carton having an inside and an outside, the method characterized in the steps of: (a) advancing a web of noncorrugated paperboard along a path, the web of noncorrugated paperboard having a first surface which will be on the inside of the carton when the blank is folded to form the carton, a width, and longitudinally extending panel portions that will each become a plurality of panels, the longitudinally extending panel portions being separated by longitudinal fold lines; (b) laminating at least a first ribbon and a second ribbon of reinforcing material to the first surface of the advancing web of noncorrugated paperboard, the first ribbon and the second ribbon having a width less than the width of the web of noncorrugated paperboard, the first ribbon being positioned on, and adhered to, substantially all of, but not beyond, a first longitudinally extending panel portion of the web of noncorrugated paperboard, and the second ribbon being positioned on, and adhered to, substantially all of, but not beyond, a second longitudinally extending panel portion of the web, the first ribbon and the second ribbon not extending across the longitudinal fold lines; and (c) cutting the web of noncorrugated paperboard and the laminated first ribbon and the second ribbon across their length into a carton blank having panels corresponding to the top wall, the bottom wall, and the two side walls of the carton, whereby the first ribbon and the second ribbon are positioned on the inside of the carton when the carton blank is folded to form the carton, and reinforce the carton blank. (a) advancing a web of noncorrugated paperboard along a path, the web of noncorrugated paperboard having a first surface which will be on the inside of the carton when the blank is folded to form the carton, a width, and longitudinally extending panel portions that will each become a plurality of panels, the longitudinally extending panel portions being separated by longitudinal fold lines; (b) laminating at least a first ribbon and a second ribbon of reinforcing material to the first surface of the advancing web of noncorrugated paperboard, the first ribbon and the second ribbon having a width less than the width of the web of noncorrugated paperboard, the first ribbon being positioned on, and adhered to, substantially all of, but not beyond, a first longitudinally extending panel portion of the web of noncorrugated paperboard, and the second ribbon being positioned on, and adhered to, substantially all of, but not beyond, a second longitudinally extending panel portion of the web, the first ribbon and the second ribbon not extending across the longitudinal fold lines; and (c) cutting the web of noncorrugated paperboard and the laminated first ribbon and the second ribbon across their length into a carton blank having panels corresponding to the top wall, the bottom wall, and the two side walls of the carton, whereby the first ribbon and the second ribbon are positioned on the inside of the carton when the carton blank is folded to form the carton, and reinforce the carton blank.