Abstarct: In this thesis, the buckling and post-buckling of porous annular plates, under radial load has been performed with the first-order shear deformation theory. The plate has been considered axisymmetric and the equilibrium equations have been extracted using the principle of virtual work and considering the Green kinematic relations, which include four ordinary differential equations with variable and nonlinear coefficients. Equilibrium equations have been solved by analytical method and in analytical solution, the perturbation theory has been used. The buckling load has been presented for clamp boundry condition at the plate inner edges and different aspect ratios and also different porosity coefficients, and the effect of different porosity models on the plate has been studied. The solution of the stability equations are obtained by the adjacent equilibrium criterion, which include four coupled ordinary differential equations with variable coefficients. The effect of geometrical and mechanical parameters on buckling and post-buckling load has been investigated too. To validate the results, the Abaqus numerical software have been used used for simulation. Also the results have been compared with the other references for the special cases.