A LED driving apparatus including a power converter, a judging module and a control module is disclosed. The power converter and the judging module are coupled to at least one LED respectively. The control module is coupled to the judging module. The control module includes a current source and a transconductance amplifier. The current source is coupled to an output terminal of the transconductance amplifier. The power converter converts an input voltage into an output voltage and transmits the output voltage to the at least one LED. The judging module judges whether a LED current is changed from a first LED current value to a second LED current value. If yes, the judging module generates a judging signal to the control module. The control module changes a current value of the current source and a transconductance of the transconductance amplifier.