The invention discloses a device for connecting a converter body and a trunnion ring. The device comprises a trunnion ring support frame fixed on the lower cover plate of the trunnion ring and a furnace body support frame fixed on the converter body, wherein the trunnion ring support frame comprises a pair of baffle seats and a cover plate for connecting the pair of baffle seats; the opposite sides of the pair of baffle plates are respectively provided with a second supporting plate and a spherical support in turn; the supporting plate and the spherical support is in planar contact connection; the two sides of the furnace body support frame corresponding to the spherical support are provided with spherical pads; the spherical pads and the spherical support are in spherical clearance contact connection; and the furnace body support frame is sandwiched between a pair of baffle plates. The connecting device can effectively adjust the radial and axial relative displacement of the converter body in the trunnion ring generated by temperature change, absorbs distortion stress in the process of frequent heavy-duty overturning motion of the converter body, ensures that the converter body cannot bounce, ensures the normal operation of key equipment of a converter and improves the equipment capacity of the converter.