In　view　of　the　estimation　problem　of　the　priori　signal-to-noise　ratio　(SNR)　estimation　in　single-channel　speech　enhancement　algorithm,　a　novel　method　based　on　the　further　information　is　proposed.　In　this　paper,　the　information　from　the　post　frame　is　considered　in　obtaining　priori　SNR　of　the　current　frame.　Firstly,　the　original　priori　SNR　is　achieved　by　the　decision　directed　(DD)　algorithm.　secondly,　in　order　to　solve　the　smoothness　drawback　of　Two-Step　Noise　Reduction　(TSNR)　method,　we　utilize　the　correlation　of　the　inter-frame　and　introduce　speech　information　from　the　post　frame　to　refine　the　estimation　priori　SNR.　Lastly,　to　track　noisy　speech　change　more　quickly,　a　self-adaptive　averaging　factor　is　introduced　by　the　minimum　mean-squared　error　(MMSE)　estimator.　The　proposed　algorithm　has　good　performance　in　reducing　the　speech　distortion　while　the　advantages　in　noise　suppression　are　kept.　The　simulation　experiment　results　show　that　the　performance　of　proposed　algorithm　is　superior　than　TSNR　algorithm　under　various　noise　conditions.