In the paper, we propose a neuro-controller (NC) for suppression of load swing in a crane system rotating around the vertical axis. As in a nonholonomic system, the traditional control method using a static continuous state feedback law cannot stabilize the load swing. It is necessary to design a time-varying feedback controller or a discontinuous feedback controller. We propose a simple three-layered neural network as a controller in order to have control performance even if the load of the rotary crane system swings suddenly (disturbance). The NC is trained by a simple GA. The validity of the proposed NC is verified through computer simulation.