An over current protection circuit and a power converter using the same. The over current protection circuit includes a soft start cell and an operational amplifier. The soft start cell outputs a soft start signal according to a direct current (DC) level, and the soft start signal increases progressively to the DC level in a soft start interval. The operational amplifier outputs an over current signal to a feedback control circuit according to the soft start signal and an inductance current of a switching converter so that a duty cycle of a driving signal from the feedback control circuit increases progressively in the soft start interval.