Abstract: To replace the MOSFET in digital circuits,a four-terminal memristor model is proposed based on the traditional two-terminal memristor,whose four terminals respectively correspond to the gate,source,drain and substrate of the MOSFET.The model described by Verilog-A is used to construct NAND,NOR,etc.logic gate circuits,1 R-1 R random access circuit of 1 bit data in the software environment of Hspice.And the simple application of four-terminal memristor in digital circuits is realized at the simulation level.The experimental results are in line with expectations.As a kind of nanodevice compared with the MOSFET,the four-terminal memristor has greater advantages in terms of small size and low power consumption.With the size of CMOS process gradually approaching the limit,the application of the four-terminal memristor is a reasonable direction.