A robot cleaning system includes a robot cleaner comprising a sensor for receiving a specific signal sound, a rechargeable battery, and a control unit; and a recharging base comprising an audio output device for outputting the specific signal sound. The control unit calculates a distance and a direction from the robot cleaner to the recharging base based on the signal sound received by the sensor, and controls the robot cleaner to move based on the calculated distance and direction, when a remaining amount of the battery is less than a preset value. The robot cleaner docks with the recharging base to recharge the battery of the robot cleaner.