Abstract: Memristor is a new tow-terminal passive component with non-liner and memory characteristic,it is different from resistor,capacitor and inductor.Second-order passive low pass filter circuit and active low pass filter circuit based on memristor and memory capacitor equivalent circuit are proposed in the paper.The proposed circuit is simulated by SPICE.The results show that the circuit has a great advantage in circuit parameters adjustment and stability compared with traditional low pass filter circuit.