A device for fastening of cables includes two saddles to be joined onto a cable and provided with seats for housing the cable, the seats having a plurality of tongues that elastically deform when the saddles are closed around the cable, each of the seats having a rigid frame to which the plurality of elastically deformable tongues is secured and sides directed longitudinally and sides having a curvilinear profile following the semi-circular cross-section of the cable. A row of tongues is fastened, at one end, to the side of the frame, and the free opposed end is raised, in the rest position, towards the interior of the seat for housing the cable. A row of tongues is further provided that is fastened, at their end, to the side of the frame, and the free opposed end is raised, in the rest position, towards the interior of the seat.