Apparatus and method for draining stored power are disclosed, which the apparatus and method are applied to an EMI filter circuit for draining power. When the power supply circuit is not working, the apparatus provides a bleeder resistor to drain the power stored in the capacitors of the EMI filter circuit. On the other hand, when the power supply circuit is working, the apparatus provides an open-circuit resistor which has extremely large electrical resistance in order to stop draining power. Thus, the apparatus for draining stored power will not cause extra power waste.