<p>The influences of pre-buckling coupling deformation on the buckling and post-buckling behaviors of asymmetric functionally graded graphene platelets reinforced composite (FG-GPLRC) circular plates with radially movable boundary were studied. Firstly, the pre-buckling coupling deformations of the FG-GPLRC plates with different external factors were calculated. According to the size of the coupling deformation, it was analyzed whether it should be included in the study of buckling and post-buckling. Then, the nonlinear buckling governing equations of the FG-GPLRC plates considering the pre-buckling coupling deformation were established and solved based on the variational principle and shooting method. Finally, the critical loads and post-buckling paths of the plates were determined and their influencing factors were also analyzed in detail. Research has shown that this type of structure does not exhibit the typical buckling phenomenon based on the Terriftz criterion. The geometric parameters or distribution patterns of graphene platelets (GPLs) and the pre-buckling coupling deformation have significant effects on the nonlinear stability of this kind of plates.</p>