The disintegration of a bullet in the body of a wild animal is determined by the power output of the bullet and therefore by the effect of the shot. A different type of disintegration is required for small as opposed to large animals. According to the invention, a disintegrating hunting bullet is provided in the form of an enveloped bullet, characterized in that the core (3) is made of balls (4,5) or granules made of a metal substance and the balls (4,5) or granules are pressed free from cavities in order to create set rupture points.