The article proposing a new technology for manufacturing of vibration-proof tool with multilayered damping tool holder. Desired damping effect is obtained by anisotropic properties of tool holder plates, as a result from machining by pressure a source material. The experimental research in the piece processing allows to provide effective dynamic absorbing of vibration. This method is more effective (in comparison with standard methods) because it have high coefficients of damping and absorption. The value of dissipative force of multilayered tool holder material (with differently directed structure) is enough to ensure a good damping effect.