A charging system includes a charger, a battery charged by receiving a power of a first voltage from the charger, a multi-charge configured to boost a power of a second voltage lower than the first voltage to the first voltage and supply the boosted power to the battery, a charge relay connected at a position between the battery and the charger and configured to be switched to be in an ON state when the power of the first voltage is supplied from the charger and to be in an OFF state when the power of the second voltage is supplied from the charger, and a charging controller configured to control, based on whether a melting fault of the charge relay occurs, whether to supply the power of the first voltage to the battery through the charge relay or to supply the battery with the power through the multi-charge device.