Abstract: Higher-order shear deformation theories of Reddy discretized by a mesh-free collocation method based on the inverse multiquadric radial basis function are used to calculate the non-dimensional stress and maximum deflection for simply supported laminated composite plates under sinusoidal transverse load. The influence of node distribution mode and density on the results is analyzed. Through numerical experiments, the high numerical accuracy of the inverse multiquadric radial basis function for static analysis of laminated composite plates is demonstrated.