A novel topology optimization method is proposed based on moving particle method (MPM), in which the topological optimization results can be obtained by moving of particle instead of "soft delete".Minimum compliance is chosen as the objective function, and the nodal density and location coordination as the design variables, the model of topology optimization based on MPM is built by using the SIMP material model.The control equation of particle moving is created by coupling the nodal coordination and its density, and the location of particle can change with nodal density.The density gradient is derived, and calculating flow chart is given.Combined OC method, the topology optimization of L-shape beam shown in Fig.1 is achieved.The results obtained verify that the presented optimal method is feasible.It is more important that proposed method in this paper can effectively avoid numerical instabilities such as checkerboards,mesh-dependence occurring in the traditional topology optimization method.