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Based on Chaotic Mutation Particle Swarm Optimization (CPSO), this paper proposed a novel method for satisfactory design of digital IIR filters. First, chaotic mutation was used to improve the performance of standard PSO to avoid premature convergence. Then, the Â¿shrinkingÂ¿ strategy was introduced to raise its local search ability. Finally the CPSO algorithm was used to optimize the IIR digital filter numerator and denominator coefficients. Simulation results show that the proposed method has the advantages of more stability, higher optimizing precision and strong global searching ability. The CPSO is a promising approach for satisfactory design of IIR filters.