Anisotropic plates are mainly used in advanced engineering applications because of their direction-dependent strength and light weight; nevertheless, their analysis is highly challenging because of its complex structure, varying loading and boundary conditions. The presented article proposes a novel Hybrid Radial Basis Function (H-RBF) method, which effectively combines Multi-Quadric (MQ) and Thin Plate Spline (TPS) functions for the analysis of anisotropic plate. For the validation of the proposed technique, the Galerkin Method, ANSYS simulations, and conventional analytical models are employed. The reliability and validity of the H-RBF method are demonstrated using parametric simulation under different stiffness ratios, aspect ratios, and boundary conditions. Outcomes reflect displacement behaviour according to anisotropy variations with high correlation with classical solutions and benchmark solutions. H-RBF method is presented as a powerful and efficient alternative approach for anisotropic plate analysis in a wide range of problems.