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The design of an analog circuit is so complex that much time is required. To improve the speed and efficiency of evolutionary hardware design, this paper presented an adaptive immune genetic algorithm (AIGA). The optimization of the analog circuit is the optimization of multi-dimensional parameters, and the trade-off of all parameters. The genetic algorithm is suitable for the optimization of the multi-dimensional parameters and the immune algorithm is suitable for the improvement of diversity. So AIGA can improve the searching ability, adaptability and the convergence speed. As an example, the optimization of parameters of a low-pass filter is presented. From simulation results, we confirm that the proposed method is suitable for the optimizing of the analog circuit.