Device comprises: (a) a bottom slide rail (3) with a cutting slide for a lower section at a structured surface and an upper slide rail (5) with a cutting slide for an upper section at normal surface; (b) a number of back pressure rollers (8) for the lower cutting slide (4); (c) a suppression with a crushing roller and a front suppression roller for the lower section; (d) a suppression with a crushing roller and a back suppression roller for the upper section; and (e) device for measuring the pre-running speed of the glass ribbon and its actual length. Device comprises: (a) a bottom slide rail (3) with a cutting slide for a lower section at a structured surface and an upper slide rail (5) with a cutting slide for an upper section at normal surface, where both slide rails are in an acute angle and are arranged obliquely with respect to the sliding direction of a glass ribbon (11) and the inclination is adjustable; (b) a number of back pressure rollers (8) for the lower cutting slide (4); (c) a suppression with