Pneumatic manual impact machines, in accordance with their design, cause significant levels of vibration of the handles, which adversely affect operators. Vibration damping devices used to reduce vibration, which are various types of elastic shock absorbers installed between the vibrating hammer body and the handle, are not effective enough, since with high axial forces, the stiffness of the shock absorbers increases. In the developed vibration damping system of a pneumatic hammer, the overall stiffness of the shock absorbers and the vibration damping efficiency do not depend on the axial force within the required limits.