A low-profile rod connector is disclosed that includes two substantially conical surfaces that allows two rods to be secured together. The device is easily manipulated and occupies very little space. The connector allows for the rods to be oriented at a number of different positions prior to securing the rods in a final orientation. Medical implants utilizing the present invention include surgical implants for spine stabilization. One particular application comprises securing the shaft of a pedicle screw to a spinal rod. In such application, since the connector is relatively small, displacement and disruption to nearby tissue is minimized. The connector also has application to external fixation systems which are conducted exterior of the skin surface, as well as other mechanical devices.