<p>Sandwich plate has both the advantages of lightweight and high strength, which is an ideal material in the field of aerospace. In this study, shape memory polymer (SMP) is used as the middle core; anisotropic and shape memory polymer composite (SMPC) laminate facings are used as the outer facings, respectively. The macroscopic buckling model of the sandwich plate under uniaxial compression is established. Both global buckling and wrinkling modes are considered. The variations of critical buckling parameters and the associated buckling modes with modulus ratio, thickness ratio, fiber layering angle, and temperature are obtained by the principle of minimum energy. The accuracy of the theoretical model is verified by finite element analysis. Besides, the optimum stacking sequences of the sandwich plates with SMPC laminate facings are optimized by the genetic algorithm.</p>