Abstract: The bending of a moderately thick plate is analyzedby the meshless method with the radial point interpolation andpolynomial basis functions in this paper. The global Galerkin weak-formequation for isotropicmoderately thick plate is established based on Mindlin plate theory and theminimum total potential energy principle. The shape functions constructedusing the radial point interpolation method with polynomial basis functionsenjoy Kronecker Delta function property, so the essential boundaryconditions can be easily imposed. Numerical examples show that the presentedmethod features high efficiency, good accuracy and easyimplementation. The shear locking can thus be avoided in the bendinganalysis for thin plates.