A grounding connector capable of being clamped by compression forces to a tapered metallic flange of an I-beam. The grounding connector is rectangular when viewed in side elevation and has an upwardly opening, tapered slot that accepts the metal flange. Threaded holes extend upwardly from the bottom of the connector to allow contact screws to be advanced therethrough to establish contact therewith. The need for brazing or welding a connector to the flange is eliminated.