Abstract: According to the basic concept of the axisymmetry, the planar axisymmetry problems can be classified as the axisymmetrical stress and the axisymmetrical displacement, and their basic equations are given, respectively. It should be noted that the planar axisymmetrical displacement is a special case of the planar axisymmetrical stress. The general solutions of the planar axisymmetrical stress and the planar axisymmetrical displacement are obtained by displacement method, respectively. The results indicate that the general body force can be considered when solution of planar axisymmetry problem in terms of displacement.