In this study, integrated multilayer core corrugated sandwich panels with different shapes of corrugated cores (triangular, trapezoidal, and rectangular) and the different number of core layers were fabricated using 3D printing technology, and the mechanical behavior of such multilayer core corrugated sandwich panels under quasi-static three-point bending was investigated using experiments and numerical simulations. The effects of core shape and number of core layers on the bending deformation process, damage mode, load carrying capacity, and bending energy dissipation capacity of multilayer core sandwich panels are discussed. It is found that the increase of the number of core layers significantly improves the bearing capacity, deformation capacity and energy consumption capacity of the corrugated sandwich. Parametric design of multilayer triangular core corrugated sandwich panels was also carried out by finite element software ABAQUS. It is found that through the combined design of different core shapes, a new type of multi-layer core corrugated sandwich plate with better bending bearing capacity, energy consumption capacity and deformation capacity than the single-core multi-layer core corrugated sandwich plate can be obtained, such as J-S-S, S-J-S, S-S-S-J corrugated sandwich plate with better bearing capacity and deformation performance than S-S-S.