Abstract: The handle of a tie tamper is connected to its vibration generating motor, which vibrates a beater fixed thereto, by a combination of a Neidhart damper secured to one end of the handle, a shackle-like link pair fixed at its one end to the damper, and an arcuate leaf spring pin-connected at its one end to the other end of the link pair and at its other end to the motor and by a two-bar linkage connected at its two ends via Neidhart dampers respectively to an intermediate part of the handle and to the motor, a balance weight being provided at the pin joint between the two links of the two-bar linkage, and a strap connected at its ends to the handle and motor limits the extension of the two-bar linkage.