A method and an arrangement for the damping of tower-oscillations are provided. The method for the damping of tower-oscillations includes transforming a rotation into electrical power using a generator, which is located on top of the tower. The electrical power is transformed from AC to DC and back to AC by a converter. A power-reference-signal is used by the converter to control the delivered electrical power. A variable power-offset-signal is added to the power-reference-signal before it is used for the control. The variable power-offset-signal is based on a mean value of the power-reference-signal and a side-to-side-oscillation of the tower.