A new method is presented to construct a kind of compactly supported biorthogonal wavelet based on human visual system. The genetic algorithms are used to find a compactly supported biorthogonal wavelet so that the constructed wavelet can approximate the modulation transform function for HVS.The constructed wavelet is applied to image compression coding in the experiments. The experimental results indicate that the quality of construction with the new kind of wavelet is equivalent to 9/7 biorthogonal wavelets in the condition of the same bit rate,but computational load is less. It has a good performance of construction specially for texture image compression coding.