A method for softening a paper-based product, such as facial tissues, bath tissues, paper towels, etc., is provided. In particular, the method of the present invention includes exposing a cellulosic fibrous material to ionizing radiation (e.g., electron beam radiation). It is believed that the ionizing radiation induces vibrational forces throughout the cellulosic fibrous structure, thereby disrupting hydrogen bonds between adjacent fibers and opening the crystalline structure of the material to result in a softer product.