The present invention relates to wind turbine towers and in particular to such towers having a damper for use when erecting the tower and prior to installing a nacelle on the top of the tower. The invention also relates to a method for damping wind turbine towers. One aspect of the invention involves a wind turbine tower (2) with an upper tower structure (24) and a damper (5) comprising, —a liquidless damper housing (7,8) fixed to the upper structure, —a cylindrical interior surface of the damper housing, and —a damper mass having a horizontal extent which is less than a horizontal extent of the cylindrical interior surface of the damper housing, and —at least one shock absorbing structure, where the damper mass is arranged to, when the tower oscillates, essentially stay in a standstill location, whereby a relative movement between the tower and the damper mass may cause an impact with between the tower mass and the shock absorbing structure dependent on the magnitude of the amplitude of the tower oscillation. A main technical progress is that the damper does not need detailed tuning to the towers natural frequency. As long as the damper mass is sufficient, it may be used for damping a range of tower sizes and heights.