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For three-dimensional elasticity problems,a new method named synergetic mesh-free method(SMM)is proposed under the guidance of synergetic.This method introduces the Synergetic by H.Haken [1] to the mesh-free method; the interaction among the various sub-problems of the three-dimensional elasticity is studied,and then derives a set of state parameters.Based on these changing parameters,the macroscopic behaviour and internal mechanism of three-dimensional elasticity are confirmed to optimize the criteria of nodes distribution in mesh-free method.By use of this method,rational nodes layout is deployed,the weight function influence radius to the ideal precision for mesh-free modeling is determined.Consequently arbitrary nodes layout in mesh-free method can be avoided to reduce the fluctuations in results.In this paper,the SMM method is applied to study several numerical examples,which are investigated and the present results are in good agreement with exact solutions or FEM results.It is found that the present method gives very accurate stresses and desirable convergence rate as compared with FEM,and can achieve better efficiency,and higher accuracy especially for stresses.