After the natural images are decomposed by the wavelet, each sub-band images in the same direction show strong similarity, by using this kind of similarity to carry on the image coding, which can gain much higher compression ratio than that of coding the fruit fractal image or coding the wavelet image. In this study, it takes the principle of image compression as the breakthrough point, with the interpretation of the principle of fractal circle coding and wavelet transform coding, exploring the realization of the application of wavelet transform to the fruit's fractal image compression.