Due to the slow convergence speed, large mean square error(MSE) and existing blind phase for the constant modulus blind equalization algorithm(CMA), a multi-modulus blind equalization algorithm based on memetic algorithm (MA-MMA) is proposed. In this algorithm, the reciprocal of the cost function of multi-modulus blind equalization algorithm(MMA) is defined as the fitness function of the memetic algorithm (MA). The solution vector of individual in the whole group is regarded as the initial weight vector of MMA. The vector of the individual in whole groups corresponding to the fitness function maximum is searched by the global information sharing mechanism and local depth search ability of MA and used as the initial optimum weight vector of MMA. After the weight vector of MMA is updated, the optimal weight vector of MMA is obtained. Simulation results prove that compared with CMA, MMA. The multi-modulus blind equalization algorithm based on genetic algorithm(GA-MMA) which has recently been proposed, the proposed MA-MMA has the fastest convergence speed, the smallest MSE, and the clearest constellations of output signals.