An improved cable connector includes a connector insert having an axial bore dimensioned to receive the core of a reinforced cable. A connector body has a substantially cylindrical outer surface and a substantially cylindrical cavity. A distal portion of the cavity is dimensioned to receive the connector insert. A second portion of the cavity proximally displaced from the distal portion is dimensioned to receive the conductor strands of the cable. The connector body may be configured with one or more additional portions of the cavity having progressively increasing diameters, the number of such portions depending on the size of the cable. Alternatively, the inner surface of the cavity may have a slight taper. Using a single die, the connector body is compressed with a swaging tool at several axially spaced-apart locations to grip the conductor strands and also to grip the connector insert.