Abstract: The process for the continuous casting of thin metal products, particularly steel, products, of the type according to which the molten metal is poured into a continuous-casting ingot mold of elongated section, from which the partially solidified metal is continuously withdrawn and the thickness of the product emerging from the ingot mold is reduced by means of squeezing rolls (4, 4'), comprises the steps of (a) detecting whether the liquid phase tip is located upstream or downstream of the squeezing rolls, (b) applying between the squeezing rolls, a variable magnetic field to the core of the product, while matching the action of the magnetic field to the detected position of the liquid phase tip.