A machine for making rod-shaped smoking articles, comprising: - unwinding means for unwinding at least one roll of web of material for the tobacco industry; the web being adapted to be unwound along a longitudinal feed direction; - first cutting means for cutting the web, located downstream of the unwinding means and configured to receive and cut the web in such a way as to create a plurality of longitudinal strips along the longitudinal feed direction, the first cutting means comprising at least a first roller and a second roller acting in conjunction with each other and configured to create the plurality of longitudinal strips on the web sliding between the rollers (4, 5); - gathering and conveying means configured to gather and convey the longitudinal strips from the first cutting means to create at least one continuous stream; - a garniture tongue configured to receive at least one continuous stream and to progressively wrap it in a paper web to make at least one continuous rod (100"), the at least one continuous rod (100") comprising a plurality of longitudinal strips; - second cutting means for cutting the at least one continuous rod (100"), located downstream of the garniture tongue and configured to cut the at least one continuous rod (100") into a plurality of rod-shaped smoking articles; - forming means for making a plurality of longitudinal easy folding zones in such a way that each longitudinal strip has at least one longitudinal easy folding zone. wherein the forming means for making a plurality of longitudinal easy folding zones are located on the first roller and comprise at least one between: - a plurality of crimping discs configured to compress the web in such a way that each longitudinal easy folding zone has at least one longitudinal crimp; - a plurality of reduced diameter scoring discs configured to partly cut the thickness of the web in such a way that each longitudinal easy folding zone has at least one longitudinal score line; and wherein the first roller also comprises a plurality of cutting discs, preferably rotary, configured to make longitudinal strips having straight or wavy or zig-zag edges, the second roller being plain. - unwinding means for unwinding at least one roll of web of material for the tobacco industry; the web being adapted to be unwound along a longitudinal feed direction; - first cutting means for cutting the web, located downstream of the unwinding means and configured to receive and cut the web in such a way as to create a plurality of longitudinal strips along the longitudinal feed direction, the first cutting means comprising at least a first roller and a second roller acting in conjunction with each other and configured to create the plurality of longitudinal strips on the web sliding between the rollers (4, 5); - gathering and conveying means configured to gather and convey the longitudinal strips from the first cutting means to create at least one continuous stream; - a garniture tongue configured to receive at least one continuous stream and to progressively wrap it in a paper web to make at least one continuous rod (100"), the at least one continuous rod (100") comprising a plurality of longitudinal strips; - second cutting means for cutting the at least one continuous rod (100"), located downstream of the garniture tongue and configured to cut the at least one continuous rod (100") into a plurality of rod-shaped smoking articles; - forming means for making a plurality of longitudinal easy folding zones in such a way that each longitudinal strip has at least one longitudinal easy folding zone. - a plurality of crimping discs configured to compress the web in such a way that each longitudinal easy folding zone has at least one longitudinal crimp; - a plurality of reduced diameter scoring discs configured to partly cut the thickness of the web in such a way that each longitudinal easy folding zone has at least one longitudinal score line;