A torsional vibration damper for use in a motor vehicle power train has an input disc part connected to the vehicle engine and an output disc part to the downstream side of the power train. The disc parts are rotatable relative to each other against the action of an energy accumulator such as a coiled compression spring. The energy accumulator is seated in a suspension device that is divided into two socket parts. The socket parts are rotatable in relation to each other as well as in relation to the input and output disc parts. The input and output disc parts have biasing means engaging the socket parts so that, for a first sense of relative rotation between the input and output disc parts, the biasing means of the input disc part engage the first socket part and the biasing means of the output disc part engage the second socket part while, for a second, opposite sense of relative rotation, the biasing means of the input disc part engage the second socket part and the biasing means of the output disc part engage the first socket part, with the result that for either sense of relative rotation between the input and output disc parts, the energy accumulator is always force-biased in a compressive sense between the socket parts.