In this paper, the full smoothed high-order cell based finite element method is analyzed for axisymmetric problems. As an efficient and accurate numerical method, S-FEM has been widely used in simulation calculation. However, the traditional S-FEM is studied and developed based on linear element. In complex models, the application of high order elements is essential, so it is very necessary to develop high order smooth finite element. Axisymmetric problem is to simplify the three dimensional problem to two dimensional analysis. The method of surface integral and simple average is usually used to calculate the hoop strain, but these method is not full smoothed. To develop the full smoothed high order axisymmetric finite element method, the pick-out theory is used to rebuilt the smoothing strain to polynomial, then the geometric analytical calculation is used to calculate the hoop strain with no mapping and calculation of Jacobian matrix. This method is applied to the cell-based S-FEM with 6 node triangular element. Some numerical examples are analyzed to verify the characteristics of the method. First of all, the new method has more accurate calculations, then the position of the mid-nodes of each element can be arbitrary.