A device for controlling engine speed of a multi-engine aircraft includes a series of components for automatically controlling the speed of the engines during the take-off, so as to avoid discrepancies in the engine speeds. To this end, as long as all engines of the aircraft do not have, at least at given intermediary moment of the take-off, a driving parameter value equal to a preset intermediate value of the parameter, the speed of all of the engines cannot exceed an intermediate speed associated with the preset intermediate value. Thus, all engines must reach the intermediate speed so that the acceleration to a higher take-off speed can continue simultaneously for all engines.