To improve the performance of the recently developed three-dimensional neutron transport code SN3C,the consistent Diffusion Synthetic Acceleration(DSA) method and the self-adapting Chebyshev polynomial acceleration method were adopted to accelerate the source iteration and power iteration,respectively.According to the characteristics of the method used by the DSA for solving the diffusion equa-tion,the author had developed the Full Multi-grid Diffusion Synthetic Method(FMDSA),which based on the Full Multi-grid Algorithm.The results of benchmark calculation showed a good agreement with reference value.The performance of FMDSA was demonstrated as good as the block-SOR with optimal relaxation fac-tor for little and medium problems,and moreover,for a large-scale problem,it was better than the latter.