A ventilation apparatus with a two-section feedback compensation control and a method for operating the same are disclosed. The ventilation apparatus includes a power conversion unit, a driven circuit, a DC motor, a current-sensing unit, a voltage compensation unit, and a control unit. The power conversion unit receives and converts an AC power voltage into a DC power voltage. The driven circuit receives the DC power voltage and outputs a driven voltage. The DC motor is driven through the driven voltage. The current-sensing unit senses an output current of the DC motor. The control unit receives the output current to compare to a threshold current value, thus controlling the voltage compensation unit. Accordingly, the DC power voltage is adjusted to adjust the speed of the DC motor.