Abstract: A meshless method based on moving Kriging interpolation is used to study the dynamic behavior of multilayer nano? plates. A dynamical model of multilayer molybdenum disulfide （MoS2 ） is established considering intra - layer stretching， interlayer shear and single layer bending. Compared with the results of molecular dynamics simulation， it is shown that the present model can predict the vibration behavior of multilayer MoS2 . The interlayer shear and slip of multilayer two-dimensional structures violate the prediction of classical plate theory， mainly due to the effect of interlayer shear and slip on the overall dynamic behavior of two-di? mensional structures. The influence of different layer number and size on the frequency is investigated， and the influence of the three factors on the frequency is studied by changing the intralayer tensile stiffness， interlayer shear modulus and single layer bend? ing stiffness.