Imperfection of adhesive bonding in the corrugated core sandwich plate microstructure is commonly occured due to inaccuracies in fabrication process or environmental effect. Considering the geometrical changed due to the adhesive imperfection, it could influence the mechanical properties of sandwich plate structure. Hence, this paper was caried out to predict the effective elastic constants of corrugated core sandwich plate microstructure by considering the effect of adhesive imperfecction. Unit cell of corrugated core microstructure with variation of adhesive imperfection was developed using multiscale finite element software named Voxelcon. Homogenization method was integrated with probability function to predict the effective elastic constants of corrugated core sandwich plate structure. The proposed method could potentially be extended to other types of periodic microstrostructure in predicting the reliable homogenized properties of heterogeneous materials.