Machine for unseating a tire bead from a wheel, comprising a stand designed to rest on the ground, a bearing plate for the wheel, and a bead unseating tool which is connected to a tool bearing structure mobilely mounted to the stand. The machine comprises a pneumatic actuator for setting the tool bearing structure in motion in order to operate the tool, and a shock absorber connecting the tool bearing structure to the stand in order to damp the movement of the tool bearing structure, particularly at the moment at which the tire bead unseats from the rim of the wheel.