A power processing apparatus includes an input port, an output port, a power transforming module, and a power releasing module. The power transforming module is between the input port and the output port to transform power into predetermined voltage or current. The power transforming module has a capacitor unit connected to LEDs in parallel. The power releasing module has a switch unit to disconnect the resistor unit and the capacitor unit when the power transforming module receives the power, and to connect the resistor unit to the capacitor unit when the power transforming module does not receive the power. Therefore, it may release the residual power to make the LED off in a short time when one turns off the power.