Cable as suspension means for lifts. A synthetic fiber cable is connected with an elevator car or load-receiving means, with a sheathing, surrounding an outermost cable strand layer, consisting of synthetic material, preferably polyurethane, with the cable strands being twisted or laid up of individual aramide fibers, wherein each individual strand is treated with an impregnating medium for the protection of the fibers and a friction-reducing intermediate sheathing is interposed between the outermost strand layer and the inner strand layer, and in order to obtain an almost circularly shaped strand layer and increase the degree of filling of the strands, any gaps therein are augmented by filler strands.