A controller of a switching converter having a switch and an energy storage component. The controller has a hysteresis feedback circuit for generating a hysteresis feedback signal based on an output feedback signal of the switching converter, a first comparison circuit for generating a first comparison signal by comparing the hysteresis feedback signal with a ramp signal, a second comparison circuit for generating a second comparison signal by comparing the output feedback signal with the ramp signal, and a turn-on control circuit. The turn-on control circuit generates a target locked valley number based on a valley pulse signal in response to one or more valleys of a voltage drop across the switch, the first comparison signal, the second comparison signal and a current locked valley number, and further generates a turning on control signal corresponding to the target locked valley number for turning ON the switch.