A filter cut-off frequency correction circuit, inputted with a step function increasing from a first voltage to a second voltage, comprises a linear passive filter, for integrating the step function to obtain a third voltage; a first comparator, outputting a first high-level signal when the third voltage is greater than a first predetermined reference voltage; a second comparator, outputting a second high-level signal in a first period from the time that the second voltage is applied to the time that the first comparator outputs the first high-level signal; a counter, for counting a number of clock pulses of a reference clock inputted in the first period; a digital block, for calculating a variation rate of time constant according to the number of clock pulses of the reference clock, and generating a correction code; and a filter, for correcting the cut-off frequency according to the correction code. The correction circuit can improve the speed of cut-off frequency adjustment.