Two tundish transport trucks move in alternate relation between a pouring position and a tundish preheating position. A swivel table is disposed at the forward end of a transport rail which extends laterally from the pouring station for guiding the tundish transport truck for movement thereon. Provided on the swivel table are a pair of swivel rails such that one of the rails is connected to the travel rail and the other is positioned in corresponding relation to a tundish preheating device. When the swivel table turns with the tundish transport trucks mounted on corresponding swivel rails, a preheated tundish is delivered to the pouring position and a used tundish is subjected to repair and preheating so as to be ready for a next tundish changing operation.