The reproducing kernel particle method with complex variables is developed in this paper. The advantages of the developed method is that the correction function of a 2-D problem is formed with 1-D basis function. Then，we apply the method to two-dimensional elasticity，and the application to two-dimensional elasticity is presented, and the corresponding formulae are obtained. Compared with the conventional reproducing kernel particle method，the reproducing kernel particle with complex variables developed in this paper has greater precision and computational efficiency. Some examples given in this paper demonstrated the efficiency of the present method.