Abstract: According to statistical law,this paper firstly creates a small fixed compression dictionary,which is applied to speeding up fractal image compression coding.Then,the paper creates a lot of 8×8 image blocks that use the escaping method to produce Julia images,which applies the image blocks to fractal image compression coding.For this reason,the compression algorithm in this paper corrects the defect of using variable fractal compression dictionary that was designed by Barnsley to realize fractal image compression coding.The experimental results show that the algorithm in this paper can realize fractal image coding very well and has some fractal image merit decoding.