Abstract:The high order displacement function of rectangular element of manifold method is developed based on the theory of manifold method. This new method can simplify the forming of the mathematical meshes and physical covers,reduce the number of small physical covers,and precisely calculate the strain and stress by using the simplex integration. The linear cover displacement function is mainly discussed. The stiffness matrix is formulated. The calculation results,with an example shown,demonstrate that high order rectangular element of manifold method can get more accurate strain and stress.