A device for controlling substrate web tension includes first and second driving units with respective driving rollers around which the substrate web is partially guided and tensioned. The first and second driving units have different rotational moments of inertia. A measuring unit measures the tension of the substrate web. A control unit has first and a second filtering units with different filtering characteristics for filtering the measured value. The control unit includes a first control device for controlling the first driving unit based on the measured value filtered by the first filtering device, and a second control device for controlling the second driving unit based on the measured value filtered by the second filtering device.