Abstract: A method and apparatus are disclosed for forging a wrenching socket in the end of a fastener which permit the production of such fasteners from materials which are difficult to forge, such as titanium and some high strength steels. A cylindrical preliminary socket is formed in the end of the blank forming the fastener with a punch having a circular cross section. The preliminary socket is sized to be at least as great as the maximum lateral dimension of the finished wrenching socket required. Subsequently, a tool having a cross-sectional shape corresponding to the required finished socket is positioned in the preliminary socket and the material of the blank is extruded inwardly against the tool to form a cylindrical exterior surface and a finished socket having a non-circular cross section. With this invention, even very small hexagonal sockets can be formed in titanium fasteners.