This paper investigates the problem of the functionally graded and multilayered rectangular plate made of one-dimensional orthorhombic quasicrystal materials.An exact solution is obtained for simply support plates under surface loading.The functionally graded material is assumed to be exponential in the thickness direction.The pseudo-Stroh formalism and propagator matrix method are applied to the process of derivation for the exact solution.The exact solution is used in two functionally graded sandwich plates made of quasicrystals and crystals which are subjected to mechanical loading on the top surface.The numerical results show that the exponential factor and stacking sequence can influence the stress and displacement components in the phonon and phason fields.The exact solution can be used to design a functionally graded plate which is composed of one-dimensional quasicrystals.The numerical results can also be served as basises for other numerical methods,such as finite and boundary element methods.