The invention relates to a method for continuously casting thin metal products, the method comprising the operations of pre-heating a pair of refractory plates (7) for the lateral containment of a bath of molten metal constituted of a pair of counter-rotating rolls (1, 2), and of abutting said pair of plates (7) towards each lateral surface of the ends of said pair of rolls (1, 2), characterised in that is comprises the operations of applying a controlled elastic or elastic/plastic deformation to said pair of plates (7) at the contacting arc between the surface of the plates (7) and the peripheral portion of the ends of said rolls (1, 2), and controlling said elastic and/or elastic-plastic deformation of said pair of plates (7) during the whole casting process, so as to minimize the surface wear of the plates (7) and of the ends of the rolls (1, 2), and to guarantee the maintainment of a predetermined distance between said rolls (1, 2) and said plates (7) lower than a predetermined value, and to minimize the occurrence of leaks of molten metal between said plates (7) and said end parts of said rolls (1, 2).