Abstract: Method and device for controlling the swinging motion of an oscillating load suspended from a movable support, wherein the movement of the support is controlled by a speed setpoint. The method includes a step (AS1) for automatically controlling the actual swaying value of the oscillating load by means of a zero swaying value and a step (37) for adjusting the speed setpoint (CV) of the support according to a correction value (E1) determined during the automatic swaying control step (AS1). The invention can be used, for example, for moving a load by means of a harbour crane.