A tire includes a tread band having a tread pattern defined by a plurality of grooves of substantially circumferential orientation and by a plurality of grooves of substantially transverse orientation, which grooves delimit a plurality of rubber blocks arranged in a plurality of rows of substantially circumferential orientation, each of the blocks being delimited by a contact face and at least three side faces, wherein at least some of the blocks include at least one side face of substantially transverse orientation provided with at least one irregularly shaped step having an upper face and a front face.