Abstract: An anchorage for a tendon that includes a sleeve having a smooth tapered interior bore and a compressible wedge disposed in the sleeve. The compressible wedge has a smooth exterior tapered surface tapering from a wider end to a narrower end and one or more interior channels for receiving a tendon. The taper angle of the compressible wedge is greater than the taper angle of the bore. Thus, upon insertion of the compressible wedge into the sleeve, the wider end of the compressible wedge forms a wedge contact with the sleeve before the narrower end forms a wedge contact with the sleeve. Preferably, the bore and wedge are conical, and the wedge is formed of several symmetrical pie shaped resilient sections. Corners of the sections abutting at the interior channel are rounded. An inner sleeve is disposed in the interior channel, with the outer diameter of the inner sleeve matching the diameter of the interior channel. The tendon is held by the inner sleeve.