The present invention relates to a charger capable of diagnosing a lifespan of a battery when the battery is being charged, and a control method thereof. The charger includes a converter applying one of a perturbation voltage and a perturbation current to a battery, and a digital signal processor transmitting a perturbation signal in which an AC signal is added to a DC signal via the converter, measuring an output response of the battery, calculating an impedance spectrum according to the output response of the battery, calculating an impedance parameter by selecting an equivalent circuit according to the impedance spectrum, and estimating a lifespan of the battery by comparing the calculated impedance parameter of the battery with a predetermined impedance parameter of a reference battery.