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As CMA blind equalization algorithm based on stochastic gradient descend method has slow convergence rate and big steady state residual error, a robust memory gradient blind equalization algorithm based on error sign decision was proposed. Compared with stochastic gradient algorithm, memory gradient algorithm can make full use of the iteration gradient information of current and last step to accelerate convergence speed and effectively avoid the error convergence algorithm to a certain extent. However, transient noise interference may result in inconsistent direction of current iteration gradient information and last step that may cause the algorithm unstable, if the iteration error sign decision of current and last step is consistent then adopts memory gradient stochastic gradient descent algorithm, this method can ensure the robustness of memory gradient algorithm. The computer simulation results prove the validity of the algorithm.