Abstract: The prospect of memristor application is cheerful with its theory deepening continuously and successful realization, add its unique physical appearance. This paper proposes that memristors have two types: P-type and N-type further. The memristors possess dual characteristics by studing their physical properties. Based on this, linear performance is showed externally by topological link and the selection of parameter between memristors which kept the unique attributes respectively. At the same time, the topology structure of an equivalent analysis circuit and a network of memristor are given. Simulation results show that the method is effective and the conclusion is correct. So that, it opens up new avenues for the theory of memristor and application research, especially for the construction of memristor network.