The present invention provides a current-mode control step-up converter capable of reducing the minimum duty ratio to a sufficiently small value and facilitating the setting of the maximum duty ratio. The step-up converter comprises a current detector 9 for generating a current detection signal Vc corresponding to the current of a rectifier 4; an error amplifier 8 for generating an error signal Ve corresponding to an output DC voltage Vo; and a control circuit 10 for turning ON/OFF the main switch 3 on the basis of the current detection signal Vc and the error signal Ve. The control circuit 10 comprises a comparator 11 and a timer circuit 12. With this configuration, the ON time of the main switch 3 is set at a predetermined value, and the valley value of an inductor current changing in a triangular waveform is controlled. Hence, the OFF time of the main switch is adjusted to stabilize the output. Since the ON time of the main switch 3 can be set as desired, the minimum duty ratio can be reduced to zero or a sufficiently small value.