Abstract. In this paper, the governing equations of multi layer graphene sheets embedded in polymer matrix are reformulated based on nonlocal theory. On the basis of the constitutive equations of nonlocal elasticity, the classical plate theory is used to obtain the governing equations of multi layer graphene sheets. The van der Waals interaction between two adjacent layers is considered. Analytical solution for bending analysis of rectangular multi layer graphene sheets are used to solve the coupled governing differential equations. To verify the accuracy of the present approach, a comparison is made with previously published results. Finally, numerical results are obtained to discuss the effect of nonlocal parameter, foundation stiffness parameters, number of layers and aspect ratio on the static behavior of multi layer graphene sheets.