Arrangement for connecting at least one slat, which is connected with a converter vessel of a converter, with a tiltably mounted support ring, which carries the converter vessel and which surrounds the converter vessel in encircling manner radially outwardly with play, of the converter, comprising - at least one ring-side connecting unit securable to a lower side of the support ring and - at least one slat-side connecting unit securable to a free end section of the slat, characterised in that - the ring-side connecting unit comprises at least two connecting bodies (16, 17), which are arranged at a radial spacing from one another and between which at least one connection receptacle is arranged, which has a receiving opening at a lower side remote from the support ring and a cross-sectional area which is of prismatic form with respect to a radial section plane, wherein mutually facing sides of the connecting bodies (16, 17) are each arranged at such an inclination that the spacing of the two connecting bodies (16, 17) from one another continuously reduces in the direction of the receiving opening, - the slat-side connecting unit comprises at least one clamping body, which is introducible by way of the receiving opening into the connection receptacle and which with respect to a radial section plane has a prismatically formed cross-sectional area continuously tapering in the direction of the slat, wherein a base side, which faces the support ring, of the clamping body is formed to be shorter than a radial width of the receiving opening, and - at least one clamping element is arranged at at least one connecting body (16, 17) to be radially adjustable and can load the clamping body with a clamping force in the direction of the respective other connecting body (16, 17). - at least one ring-side connecting unit securable to a lower side of the support ring and - at least one slat-side connecting unit securable to a free end section of the slat, - the ring-side connecting unit comprises at least two connecting bodies (16, 17), which are arranged at a radial spacing from one another and between which at least one connection receptacle is arranged, which has a receiving opening at a lower side remote from the support ring and a cross-sectional area which is of prismatic form with respect to a radial section plane, wherein mutually facing sides of the connecting bodies (16, 17) are each arranged at such an inclination that the spacing of the two connecting bodies (16, 17) from one another continuously reduces in the direction of the receiving opening, - the slat-side connecting unit comprises at least one clamping body, which is introducible by way of the receiving opening into the connection receptacle and which with respect to a radial section plane has a prismatically formed cross-sectional area continuously tapering in the direction of the slat, wherein a base side, which faces the support ring, of the clamping body is formed to be shorter than a radial width of the receiving opening, and - at least one clamping element is arranged at at least one connecting body (16, 17) to be radially adjustable and can load the clamping body with a clamping force in the direction of the respective other connecting body (16, 17).