Hydraulic-vibrationally damping rubber mount for motor vehicles with two rigid end surfaces opposite one another in the axial direction and at least two chambers containing damping fluid arranged one after the other, whereby the chambers are connected with one another by means of a choke point. The partition delimiting the two chambers is designed rigidly in the outer region, and held in an axially-movable manner in the inner region. There is a fixed body included in the center. The elastic wall, by means of its flexibility, prevents any cavitation in the rubber mount. At the same time, the fixed body can be used as a tuned vibration-absorption mass for the frequency-dependent reduction of the dynamic spring rigidity. In addition, a bypass can be formed in the inner region, whereby by means of webs, a pre-stressed disc is pressed against a seal surface, so that for large amplitudes of generating a vacuum in the damping fluid causing cavitation, the pre-stressing is overcome, and releases a bypass, so that no disruptive vibrational effects occur.