There are provided a LED driving apparatus and a liquid crystal display apparatus using the same, in which a circuit configuration of the LED driving apparatus can be simplified and the cost of the LED driving apparatus can be saved in employing a LED as a light source of the liquid crystal display apparatus. The LED driving apparatus comprises a plurality of n LED lamps, constant voltage providing units that provide constant voltages to the plurality of LED lamps, respectively, a Pulse Width Modulation (PWM) control signal providing unit that provides PWM signals to the constant voltage providing units, respectively, and a feedback control unit that receives voltages feedbacked through the plurality of LED lamps, compensating for the voltages as constant voltages suitable for constant current driving of each of the LED lamps, and sequentially outputs the constant voltages to the constant voltage providing units, respectively, based on time-dividing.