Method for producing cardboard tubes by winding a plurality of ribbons (U, L) onto a spindle (1), a preset number of the ribbons (U, L) being glued in correspondence of the lower or radial inner surface thereof, characterized in that a predetermined amount of supplementary quick setting glue is applied on the lower surface of the last ribbon (U) destined to be wound on the spindle (1), in proximity to at least a longitudinal edge (BU) of the ribbon (U) forming a corresponding stripe of quick setting glue (G) astride of a section (ST) of the same ribbon interested or intersected by a subsequent cutting action executed downstream of the spindle (1).