Due to the problem that the large aperture of sparse array antennas leads to most interested targets lying in the near-field, we propose a novel near-field beam synthesis method for sparse array antennas. By utilizing the propagation model of near-field electromagnetic waves, we analyze the original propagation delay expression. When the number of antenna elements and the interval bounds are fixed, this method achieves a lower peak side-lobe level of the linear sparse array via differential evolution, with the steps of the algorithm given. Computer simulation shows the effectiveness and feasibility of the algorithm by realizing near-field beam focusing and PSLL controlling under high sparseness. It is proved that the proposed method reduces the high peak side-lobe level brought by the large array aperture, and has better performance than traditional methods.