A load driving apparatus and a driving method thereof are provided. The load driving apparatus includes a power conversion circuit and a control chip. The power conversion circuit receives a DC input voltage, and drives an LED load in response to a gate PWM signal. The control chip is configured to: provide the gate PWM signal having a first preset duty cycle during a light operation period of a dimming operation, so that the LED load is fully turned on; and provide the gate PWM signal having a second preset duty cycle during a dark operation period of the dimming operation, so that the LED load is slightly turned on. The second preset duty cycle is far less than the first preset duty cycle. A current of the LED load during the light operation period is far more than a current of the LED load during the dark operation period.