A coupling for the vibration-damping transmission of torques, comprising an inner coupling member, which is provided with a substantially radial flange, and an annular outer coupling member, which surrounds the inner coupling member substantially concentrically. An annular toroidal compression cushion of elastomeric material, which is U-shaped in longitudinal section is connected to the outer coupling member along its outer edge and to the flange of the inner coupling member along its inner edge. An annular chamber is defined inside the compression cushion. A plurality of non-extensible ropes, which are each connected to the outer and to the inner coupling members, in uniform distribution along the periphery of the coupling members, are arranged substantially in longitudinal planes around the annular toroidal compression cushion. The compression cushion is loaded and resiliently deformed by compression through the ropes under the action of a torque to be transmitted, when the coupling members are rotated relative to each other from a position of rest.