Abstarct: In this research, the governing equation of homogeneous and anisotropic axisymmetric thick-walled cylinders subjected to mechanical and thermal and steady state loading baxsed on the plane elasticity theory is presented. The stresses and displacement calculated under generalized plane stress and plane strain assumptions. For investigating the accuracy of results conducted from analytical solution, the numerical modeling of cylinder has been done and the results of two methods compare. In addition, combination loading the results of the mechanical, rotational and thermal loading examined. Also in in this research, the results of the stresses and displacement distribution in the six Anisotropy case Studied. The results indicate that for Material studied the Anisotropy orientation of stresses and displacement distribution it is important. Finally conclusion, discussion and suggestion have been indicated.