The present invention relates to a crane, in particular to a revolving tower crane, having a load suspension means attached to a hoist rope, drive devices for moving a plurality of crane elements and for traveling the load suspension means, a control apparatus for controlling the drive devices such that the load suspension means travels along a travel path, and an oscillation damping device for damping oscillation movements of the load suspension means, wherein said oscillation damping device has a control module for influencing the control of the drive devices in dependence on oscillation-relevant criteria. It is proposed not only to take account of the actual oscillation movement of the rope per se in the oscillation damping measures, but also the dynamics of the steel construction of the crane and its drivetrains.