Tension control method for a metal strip, which is firstly rolled in a front roll stand of a multi-stand rolling train and then in a rear roll stand of the multi-stand rolling train, - wherein a strip tension, which prevails in the metal strip between the front roll stand and the rear roll stand, is detected by means of a looper applied to the metal strip between the front roll stand and the rear roll stand, - wherein the strip tension is supplied to a first tension controller, which determines an adjustment additional setpoint value (δs*, δF*), - wherein the strip tension is furthermore supplied to a second tension controller, which determines a velocity additional setpoint value (δv*), - wherein the second tension controller determines a value greater than 0 as the velocity additional setpoint value (δv*) if the strip tension is above an upper strip tension limit, determines a value less than 0 as the velocity additional setpoint value (δv*) if the strip tension is below a lower strip tension limit, and returns the velocity additional setpoint value (δv*) to the value 0 if the strip tension is between the lower and the upper strip tension limits (Z1, Z2), - wherein the adjustment additional setpoint value (δs*, δF*) acts on the rear roll stand, and the velocity additional setpoint value (δv*) acts with positive sign on the front roll stand or acts with negative sign on the rear roll stand, characterized in that - in addition a setpoint tension (Z*) is also supplied to the first tension controller, which lies between the lower and the upper strip tension limits (Z1, Z2), - the first tension controller determines the adjustment additional setpoint value (δs*, δF*) using a determination rule on the basis of the deviation of the strip tension from the setpoint tension (Z*), and - the determination rule also permits a value not equal to 0 as the adjustment additional setpoint value (δs*, δF*) if the strip tension is between the lower and the upper strip tension limits (Z1, Z2). - wherein a strip tension, which prevails in the metal strip between the front roll stand and the rear roll stand, is detected by means of a looper applied to the metal strip between the front roll stand and the rear roll stand, - wherein the strip tension is supplied to a first tension controller, which determines an adjustment additional setpoint value (δs*, δF*), - wherein the strip tension is furthermore supplied to a second tension controller, which determines a velocity additional setpoint value (δv*), - wherein the second tension controller determines a value greater than 0 as the velocity additional setpoint value (δv*) if the strip tension is above an upper strip tension limit, determines a value less than 0 as the velocity additional setpoint value (δv*) if the strip tension is below a lower strip tension limit, and returns the velocity additional setpoint value (δv*) to the value 0 if the strip tension is between the lower and the upper strip tension limits (Z1, Z2), - wherein the adjustment additional setpoint value (δs*, δF*) acts on the rear roll stand, and the velocity additional setpoint value (δv*) acts with positive sign on the front roll stand or acts with negative sign on the rear roll stand, - in addition a setpoint tension (Z*) is also supplied to the first tension controller, which lies between the lower and the upper strip tension limits (Z1, Z2), - the first tension controller determines the adjustment additional setpoint value (δs*, δF*) using a determination rule on the basis of the deviation of the strip tension from the setpoint tension (Z*), and - the determination rule also permits a value not equal to 0 as the adjustment additional setpoint value (δs*, δF*) if the strip tension is between the lower and the upper strip tension limits (Z1, Z2).