Quasicrystals show some excellent properties including high strength, corrosion resistance, low friction coefficient, low conductivity and low level of porosity. Due to their special structures, which are sensitive to force, electricity, magnetism, heat and optics. Quasicrystals with piezoelectric effect can be applied in surface modification of materials and reinforced composites. Thus, it is of great significance to consider the layered structures made of piezoelectric quasicrystal (PQC) composites. In engineering practice, due to manufacturing or interlaminar aging and other reasons, microcracks or cavities may appear in the material, which will lead to material interface slip or debonding. Such interface is commonly called imperfect interface. In this paper, the generalized linear spring layer model is introduced to obtain the imperfect interface propagator matrix for PQC plates, analytical solutions of static bending deformation of 1D hexagonal PQC layered plates with imperfect interface are derived under electroelastic loads. The influence of stacking sequence and imperfect interface degree of sandwich plates composed of piezoelectric materials and quasicrystal materials on the field response of two sandwich plates is analyzed. Some important results are found from the numerical analysis, which provides theoretical reference for the study of physical properties of quasicrystals, and the optimization and design of PQC composites.