A continuous casting installation with a structure for cooling the mold. The continuous casting mold is provided with a cooling means formed in part by a pair of opposed upper arms which extend from the mold. A carriage means is provided for moving the mold, and this carriage means has a pair of arms extending beneath and engaging the upper arms of the mold so that the arms of the carriage means form a pair of lower arms coacting with the upper arms to support the mold on the carriage means. The upper arms form part of a cooling means for the mold, while the lower arms of the carriage means are formed with passages through which cooling fluid is directed to and from the cooling means of the mold. In this way it becomes possible to simply separate a mold from the carriage means with an automatic separation of the cooling connections, and a new mold, of a different size, for example, can replace the old mold, with the connections for the flow of cooling fluid being automatically made simply by mounting of a new mold on the carriage means.