Method for making long metal rolled products, comprising the following steps: - continuous casting made by a single casting machine, defining a casting axis, to cast a product with a quadrangular or equivalent section, having a surface equal to that of a square with equivalent sides from 100 to 300 mm; - reduction of the section in a rolling mill defining a rolling axis substantially coinciding with the casting axis; and - selective accumulation and maintenance at temperature of a plurality of segments of cast product, sheared to size, in a laterally misaligned position with respect to the casting axis and to the rolling axis, inside a maintenance box furnace, having at least a storage capacity equal to a steel ladle of 70 tons, for a time correlated to a condition of temporary interruption of the rolling step, so as to allow continuity of the continuous casting step, in which, when said temporary reduction takes place, the segments of cast product sheared to size are translated into the box furnace from a rollerway connecting the casting machine and the rolling mill, according to a substantially transversal direction with respect to the casting and rolling axis, characterized in that the segment sheared to size are fed into the box furnace by means of movable thrust heads according to such substantially transversal direction, and in that the segments sheared to size are then taken out from said box furnace and brought back on said rollerway onto the casting/rolling axis according to a movement in the opposite direction by means of said thrust heads or through counter-thrust heads located on the opposite side of the box furnace with respect to said thrust heads. - continuous casting made by a single casting machine, defining a casting axis, to cast a product with a quadrangular or equivalent section, having a surface equal to that of a square with equivalent sides from 100 to 300 mm; - reduction of the section in a rolling mill defining a rolling axis substantially coinciding with the casting axis; and - selective accumulation and maintenance at temperature of a plurality of segments of cast product, sheared to size, in a laterally misaligned position with respect to the casting axis and to the rolling axis, inside a maintenance box furnace, having at least a storage capacity equal to a steel ladle of 70 tons, for a time correlated to a condition of temporary interruption of the rolling step, so as to allow continuity of the continuous casting step, in which, when said temporary reduction takes place, the segments of cast product sheared to size are translated into the box furnace from a rollerway connecting the casting machine and the rolling mill, according to a substantially transversal direction with respect to the casting and rolling axis, characterized in that the segment sheared to size are fed into the box furnace by means of movable thrust heads according to such substantially transversal direction, and in that the segments sheared to size are then taken out from said box furnace and brought back on said rollerway onto the casting/rolling axis according to a movement in the opposite direction by means of said thrust heads or through counter-thrust heads located on the opposite side of the box furnace with respect to said thrust heads.