Abstract: To solve the contradiction between simple logical functions and simple circuit structure, a kind of reconfigurable logical circuit based on memristor was designed in this paper. By using the characteristics of memory and two operation steps of initialization and logical operation, most of logic functions can be implemented. The other logic functions can be realized by the iterated operation based on IMP and FALSE. To overcome the logic misoperation and enhance the stability of the circuit, an asynchronous sequential circuit structure was employed. Compared to other logical circuit based on memristor, less memristors and logical steps are used to implement more logical functions. The Pspice simulation results verified the feasible of the circuit.