A connection system for use in joining structural members of a bed frame together. One of the structural members has a wedge and the other of the structural members has a cavity formed in a receiver. The wedge has a plurality of exterior surfaces that contact with a plurality of interior surfaces formed in the cavity. The wedge may be comprised of a plurality of wedge segments that enter into a plurality of openings in the receiver. The interfitting of the wedge into the receiver make a solid connection that is enhanced by weight of the bedding positioned thereon. The connection resists twisting forces as well as lateral and fore and aft forces.