Based on the asymptotic homogenization method of gradient plates， the unit cell problems and the effective stiffness of gradient plates are simplified， and the finite element solution is derived to achieve the efficient numerical solution of effective stiffness. Compared with the classical numerical homogenization method which can only deal with rectangular cells， this method can deal with general parallelogram microstructure and has good universality. The numerical examples verifies the correctness and feasibility of the numerical method proposed in this paper by comparing the deflection of the gradient stiffened plate and its corresponding equivalent homogeneous plate， and the relative error of the maximum deflection value is within 5%.