A universal beam clamp connector accommodates either a fixed attachment or a swivel attachment of a threaded rod to a support beam clamp. The beam clamp connector includes a connector portion and a threaded rod extender. A threaded rod extender has a cylindrical shape and an exterior surface with threading thereon. The connector portion includes a topside, a tool engaging portion and a central body extending therebetween. The threaded rod extender protrudes from the top side and the tool engaging portion protrudes from the central body. The central body includes an opening therethrough. The opening is defined by a top inner surface, a bottom inner surface and two opposing side inner surfaces. A nut is used to secure a threaded rod of a device to the beam clamp connector.