Abstract: A multistrand cable, especially one with several steel strands forming a central core and with a surrounding sheath consisting of a larger number of outer strands of aluminum or the like, is embraced by a deformable sleeve with a bore of generally polygonal cross-section radially constricted therearound to serve as an anchor or a connector. The sides of the polygon, defining flat or curved faces in contact with the sheath, are separated by longitudinal incisions whereby these faces approach one another under the constrictive stresses in order to exert a firm grip on the inner strands through the intermediary of the outer strands.