Abstract: The plates on the elastic foundation havealways been an interesting problem for scientist andengineers. The element-free method for plates onWinkler, two-parameter and elastic half space foun-dation is presellted in this paper. The shape func-tion of element-free method is introduced. The stiffness matrices of plates on elastic foundation are de-rived using variational principle. Numerical exam-ples are given and compared with other methods.It shows that this method enjoys a number advan-tages.