A method of damping tower oscillation in a wind turbine is provided. The method includes the steps of determining a rotor rotational speed of the wind turbine and controlling the rotor rotational speed such that a critical rotor speed is avoided, characterized in that it further comprises the following steps: selecting at least one input parameter value; selecting, according to the input parameter value, an operation mode for controlling the rotor rotational speed, wherein the operation mode is selected from a set of modes comprising a mode of auto tune operation; on the condition of the selected operation mode comprising the mode of auto tune operation, performing the following steps: detecting the tower oscillation frequency; calculating the critical rotor speed based on the detected tower oscillation frequency and controlling the rotor rotational speed to avoid the calculated critical rotor speed. An apparatus and a computer program product are also provided.