A wrench socket having a cylindrical body with a receptacle at one end opening exteriorly thereof to insertably receive a head or nut carried on a fastener. The sidewall of the receptacle is tapered inwardly from the open end to a bottom of the socket which defines the depth. The sidewall provides a straight wall entrance leading into the tapered sidewall portion. The angle of taper of the sidewall is sufficient to accommodate a particular range of sized and shaped fastener heads or nuts. Additionally, the opposite end of the body includes a detachable coupling with the end of a wrench so that the socket can be turned to loosen or tighten the fastener.