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This paper presents a design of digital filter for digital hearing aids application. The structure of filter is consist a combination in parallel form of IIR (Infinite Impulse Response) a low-pass, a band-pass and a high-pass filter. This study shows an advantage of IIR filter can gives a good result in the low complexity digital hearing aids which leads to low hardware resources requirement and low power consumption for VLSI design. The filter coefficients of there IIR filter will obtained from the optimization procedure by genetic algorithm (GA.) The error between desired magnitude response and actual magnitude response will be minimized by GA. In order to achieve a capable of the best compensation for each hearing loss pattern. Finally, the design example and simulation results will show the accuracy of hearing loss compensation and optimal coefficients.