This research focuses on the linear static analysis of laminated plates under the assumption of small displacements. The plates are modeled as a single continuous and homogenized two-dimensional element, thereby eliminating the need for conventional finite element discretization. The objective is to validate the effectiveness of a novel mesh-free formulation capable of significantly reducing the computational cost of the analysis. The continuous element is designed to withstand both out-of-plane and in-plane loading conditions and to accommodate a variety of boundary constraints. The proposed formulation is developed within the framework of the virtual work principle, utilizing a carefully constructed set of kernel functions that satisfy the biharmonic equation within the domain. Boundary conditions are imposed solely through equilibrium relations, while the transition between free and fixed edge displacements is controlled by adjusting the stiffness of the elastic supports. The method’s performance is evaluated based on its ability to accurately approximate boundary conditions, as influenced by the number of kernel functions employed and the flexibility of the elastic supports. The proposed approach, previously validated for single-layer plates with favorable results, is herein extended to the analysis of laminated plate structures.