Method for coiling a coiled product onto a coil body having a non-circular cross section, from a supply roll onto the coil body, said method comprising at least the following method steps: - providing the coiled product from the supply roll; and - winding the coiled product onto the coil body, - wherein a variable free length results from the non-circular cross section of the coil body per revolution of the coil body, wherein this is the variable free length of the coiled product between the bearing points of the coiled product on the coil body and a deflection roller proceeding from which the coiled product is coiled, - wherein the coiling tension of the coiled product is adjustable to an envisaged coiling tension (F-nom), - wherein the coiling tension is set to the envisaged coiling tension (F-nom) by a regulator installation, characterized in that the coiling tension is set to the envisaged coiling tension (F-nom) by a setting unit, wherein the setting unit has a variable coiled-product accumulator, - wherein the setting unit in conjunction with the coiled-product accumulator equalizes a variation in the variable free length (x) per revolution, wherein the coiling tension is actively equalized, wherein the coiled-product accumulator is set in such a manner that a capacity of the latter is set for equalizing the coiling tension, - wherein the alteration of the free length is calculated by a continuous calculation with the aid of geometrical correlations during the coiling procedure and provided to a control installation, - wherein at least one position of an actuator (3a, 5a) of the setting unit is calculated as a parameter for the setting unit when coiling, wherein a computer unit serves for calculating a respective setting, wherein the computer unit and the regulator installation are assigned to the control installation, and the control installation serves for controlling or regulating drives for rotating the coil body and the supply roll, and for controlling or regulating the actuator (3a, 5a). - providing the coiled product from the supply roll; and - winding the coiled product onto the coil body, - wherein a variable free length results from the non-circular cross section of the coil body per revolution of the coil body, wherein this is the variable free length of the coiled product between the bearing points of the coiled product on the coil body and a deflection roller proceeding from which the coiled product is coiled, - wherein the coiling tension of the coiled product is adjustable to an envisaged coiling tension (F-nom), - wherein the coiling tension is set to the envisaged coiling tension (F-nom) by a regulator installation, characterized in that the coiling tension is set to the envisaged coiling tension (F-nom) by a setting unit, wherein the setting unit has a variable coiled-product accumulator, - wherein the setting unit in conjunction with the coiled-product accumulator equalizes a variation in the variable free length (x) per revolution, wherein the coiling tension is actively equalized, wherein the coiled-product accumulator is set in such a manner that a capacity of the latter is set for equalizing the coiling tension, - wherein the alteration of the free length is calculated by a continuous calculation with the aid of geometrical correlations during the coiling procedure and provided to a control installation, - wherein at least one position of an actuator (3a, 5a) of the setting unit is calculated as a parameter for the setting unit when coiling, wherein a computer unit serves for calculating a respective setting, wherein the computer unit and the regulator installation are assigned to the control installation, and the control installation serves for controlling or regulating drives for rotating the coil body and the supply roll, and for controlling or regulating the actuator (3a, 5a).