An LED driver described herein can determine whether it is operating in z soft-start process by comparing a first threshold value and a soft-start reference value. In the soft-start process, the inductor current and the LED driving current can be soft-started periodically to effectively avoid current overshoot. In addition, the end of the soft-tart operation can be controlled based on a comparison result of the first threshold value and the reference value of the soft-start, and without any external settings. Thus, the end of soft-start operation can automatically be determined with strong controllability.