The invention relates to a connection device of a converter ring and a furnace shell, in particular to a spherical hinge disc suspension type connection device of the converter ring and the furnace shell. The connection device is characterized by consisting of 3 to 4 connection units. Each connecting unit comprises a lug, a support shaft, a sliding sleeve, a support ring, and a spherical hinge bearing, wherein the lug is fixedly connected with the converter ring and provided with a through hole for the sliding sleeve which is positioned in the through hole and is fixedly connected with the lug; the external end of the support shaft is inserted into the sliding sleeve; the internal end of the support shaft is fixedly connected with the internal ring of the spherical hinge bearing; and the external ring of the spherical hinge bearing is fixedly connected with the support ring which is fixedly connected with the furnace shell. The connection device has the characteristics of simple structure, high reliability, free maintenance, and no additional stress generation in operation process of the converter.