In this paper a multiple SIMP (solid isotropic material with penalization model) of variable density method is proposed to solve the problem of muli-material topology optimization. All candidate materials including void material are arranged in descending order of elastic modulus. The material conversion scheme of multiple SIMP is based on the elastic modulus of the candidate material after interpolation. Based on the guide-weight method, the iterative criterion of muti-material topology optimization is derived from the Kuhn-Tucker condition. Three examples show that the proposed method is effective and robust to solve the problem of muti-material topology optimization.