A tire has a piezoelectric flexing element associated with an energy storage device (e.g., a capacitor). The piezoelectric flexure element is mounted in cantilever fashion in a housing so as to be positioned substantially along a plane orthogonal to a radial direction of the tire and, so that a first end of the piezoelement is restrained by the housing. A loading mass is coupled to the second end of the piezoelectric flexure element. A small gap is formed between the inner walls of the housing and the outer surface of the loading mass in order to allow limited flexure of the piezo-electric element. The housing including the piezoelectric is mounted in a tire portion in correspondence of a tread area of the tire, preferably on the inner surface of the tire. The piezoelectric element flexes under the action of the radial acceleration when the tire rotates. The loading mass and the gap are chosen to obtain a) small entity oscillations of the flexure element substantially during a complete revolution of the tire when the tire rotates at low speed; b) large entity oscillations of the flexure element substantially only during the passage of the tire portion including the piezoelectric element in the contact patch. Sufficient electrical power for powering an electronic device included within the tire is obtained, together with a long durability of the piezoelectric element.