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Abstract: A blind equalization algorithm based on constant modulus and sparse underwater acoustic channel is presented according to the sparse characteristic of the high rate underwater acoustic communications. The algorithm combines the improved constant modulus algorithm with a variation of the decision feedback equalizer, namely the partial feedback equalizer, and uses the sparse characteristic of the underwater acoustic channel. It can not only achieve better equalization of the sparse underwater acoustic channel , but also calculate effectively and use easily hardware to carry out the algorithm . Simulation tests are dynamically conducted using the typical sparse underwater acoustic channel model. Simulation results show that the proposed algorithm has the advantages of robustness, calculation-efficient, lower steady state mean squared error, as compared to the self-adaptive LMS algorithm based sparse iteration.