Method for controlling or regulating the temperature of a steel strip with the alloying elements in weight % Min Max C 0 1 Mn 0 2.5 in the thermal reshaping of a pre-product with a thickness between d V ≥ 1 mm and d V ≤ 300 mm to form a hot strip with a hot-strip thickness d WB ≤ 25 mm and a hot-strip width between b WB ≥ 900 mm and b WB ≤ 2100 mm, a target coiler temperature T H ≥ 30° C to T H ≤ 750° C in a hot strip rolling train, particularly T H ≥ 400° C to T H ≤ 750° C, comprising at least one furnace for heating and/or temperature homogenisation of the pre-product, at least one roll stand for hot rolling the pre-product, a cooling path for selective cooling of the hot strip after the reshaping, and a coiler for winding up the hot strip to form a coil, wherein the respective individual unit has an individual controlling or regulating means for the predetermined target values, characterised in that - on a data processing system associated with the hot-strip rolling train a superordinate process model exchanges target and/or actual values, which comprise times, speeds, temperature, cooling rates and/or heating rates, on-line with at least two controlling means or regulating means of the units and/or stores these values; - the superordinate process model determines on-line in advance on the basis of the exchanged target and/or actual values and/or stored values with the help of subordinate process models (Illa, lllb) the temperature of the steel strip for at least one point before coiling of the hot strip; and - the superordinate process model determines new default target values of the units in the case of deviations of the temperature, which is determined in advance, from a default target value at this point and transfers these default values to the controlling means or regulating means of the unit so as to maintain the default target value for the temperature of the steel strip; and - the determination of the new default target values is carried out with the help of at least one subordinate process model (Illa, Illb) including an optimisation algorithm. - on a data processing system associated with the hot-strip rolling train a superordinate process model exchanges target and/or actual values, which comprise times, speeds, temperature, cooling rates and/or heating rates, on-line with at least two controlling means or regulating means of the units and/or stores these values; - the superordinate process model determines on-line in advance on the basis of the exchanged target and/or actual values and/or stored values with the help of subordinate process models (Illa, lllb) the temperature of the steel strip for at least one point before coiling of the hot strip; and - the superordinate process model determines new default target values of the units in the case of deviations of the temperature, which is determined in advance, from a default target value at this point and transfers these default values to the controlling means or regulating means of the unit so as to maintain the default target value for the temperature of the steel strip; and - the determination of the new default target values is carried out with the help of at least one subordinate process model (Illa, Illb) including an optimisation algorithm.