The invention provides a memristor-based four-bit binary multiplier circuit, which comprises a four-bit adder and a multiplication unit. The four-bit adder is connected with the multiplication unit, and the multiplication unit and the four-bit adder are both based on memristors. One group of input ends of the first multiplication unit, the second multiplication unit, the third multiplication unitand the fourth multiplication unit are connected with four input signals of a first multiplier, and the other group of input ends of the first multiplication unit, the second multiplication unit, thethird multiplication unit and the fourth multiplication unit are respectively connected with one input signal of a second multiplier in sequence. The output ends of the first multiplication unit and the second multiplication unit are respectively connected with the first input end and the second input end of the first four-bit adder. The result output by the circuit conforms to the logic functionrealized by the four-bit multiplier, four-bit multiplication operation can be carried out on the signal input into the circuit, and a very large development space can be achieved in the future information technology.