Abstract: In order to improve the robustness of the multi-cell multi-user multi-antenna downlink beamforming under the circumstance of considering the transceiver impairment and the imperfect channel information, two robust algorithms are proposed to solve the optimization issues considering two non-ideal factors. By releasing the non-convex constraints step by step, the original robust non-convex optimization issues are transformed to relatively easy-to-solve equivalent issues. The issues are effectively solved by using convex tool box, and the proposed algorithms are compared with traditional algorithms. Numerical simulations show that the proposed two algorithms can achieve better average-SINR and worst-SINR than the conventional algorithms without considering the two non-ideal factors.