Abstract: A continuous casting apparatus in which a multi-plate continuous casting mold is provided with an electromagnetic inductor for imparting rotary motion to the molten metal within the mold. Each plate is provided with a cooling chamber on its side turned away from the molten metal and an inductor is disposed around the mold so that the poles of the inductor approach the cooling chambers and are formed with passages through which threaded bolts can pass to serve as demountable support elements whereby the inductor is affixed to the chambers and by the latter to the mold. The passages run parallel to the planes of the sheets forming the laminated inductor. The withdrawal of the bolts permits separation of the inductor from the cooling chambers and thus separation of the plates so that grinding and removal of shims can compensate for the wear of the cavity-defining surfaces.