A system and method for aligning two webs which are pulled off respective supply rolls, at least one of which is elastic in nature, the two webs being joined into a multilayered web. The system includes a first deflecting roller for depositing the elastic web on the second web, and second and third deflecting rollers located between the elastic web supply roll and the first deflecting roller. A traversing roller is located between the second and third deflecting rollers so as to form a loop therewith, a position of the traversing roller being adjustable relative to the second and third deflecting rollers for changing the tension on the elastic web. An alignment between marks on the elastic web and markings on the second web is monitored and, when there is a misalignment, an actuating drive coupled to the traversing roller adjusts the position of the traversing roller in order to change the tension on the elastic web and thereby align the marks and the markings as the webs are joined.