An idling-stop control apparatus includes an idling-stop controller and an auxiliary-machine controller. The idling-stop controller is configured to automatically stop an engine to cause the engine to be in a state in which idling is stopped in a case where a predetermined condition for stopping idling is satisfied and configured to automatically restart the engine in a case where a predetermined condition for restarting the engine is satisfied. The auxiliary-machine controller is configured to control a drive state of an auxiliary machine that is to be driven by the engine. The auxiliary-machine controller is configured to control the drive state of the auxiliary machine that is driven by the engine such that, in a case where the engine is automatically restarted from the state in which idling is stopped by the idling-stop controller, a time differential value of an engine speed of the engine is constant.