Abstract: A group for assembling, disassembling and bead releasing of a tire (2) onto and from a wheel-rim (3) supported mounted for rotation about an axis and having at least a carriage or slid (4) displaceably mounted on guides (5) extending parallel to the axis of rotation of the wheel-rim (3), an arm or upright (6) extending in a transverse direction with respect to the said axis of rotation and having one end thereof supported by the slide or carriage (4) and its other end provided with a bead releasing tool (7, 8) that can be arranged so as to have its working front or edge (107, 108) facing towards the same side.