At　present,　the　technology　of　using　microphone　arrays　for　speech　enhancement　has　been　widely　concerned,　and　the　enhancement　effect　is　excellent.　The　widely　used　Generalized　Sidelobe　Canceller　(GSC)　method　can　achieve　good　noise　reduction　for　noisy　speech　in　the　additive　noise　acoustic　environment,　and　achieve　better　intelligibility　improvement.　But　there　are　also　areas　for　improvement.　In　the　lower　branch　of　GSC,　signal　leakage　caused　by　the　estimation　of　the　incident　angle　or　the　slight　change　of　the　position　of　the　microphone　array　may　cause　the　self-cancellation　of　target　speech　signal,　thereby　the　severe　speech　distortion　is　caused.　In　this　paper,　the　Generative　Adversarial　Network　(GAN),　which　has　broad　application　prospects　in　deep　learning　technology,　replaces　the　lower　branch　of　the　traditional　GSC　structure,　thus　the　self-cancellation　of　speech　signals　is　avoided　and　improving　the　anti-error　ability　of　the　enhancement　system　is　improved　effectively.　©　2019　IEEE.