A differential reproducing kernel particle (DRKP) method is developed for solving partial differential equations governing a certain physical problem by following up the consistent concepts of the reproducing kernel particle (RKP) method. Contrary to the manipulation in RKP method, we construct a set of differential reproducing conditions to determine the shape functions for the derivatives of RK approximants. The proposed formulation is simple and easy for calculation. A point collocation approach based on the present DRKP approximations for multi-dimensional problems is formulated and applied for the static analysis of single-layer and multilayered beams and plates. It is shown that the present method indeed is a fully meshless approach with excellent accuracy and fast rate of convergence.