Abstract: Image compression is the application of data compression on digital images. In effect, the objective is to reduce redundancy of the image data in order to be able to store or transmit data in an efficient form. It involves reducing the size of image data files, while retaining necessary information. This study is concerned, with compression method of fingerprint image without losing the important features of these images (lossless method), by using, (3�3) Block Compression Method. This proposed method done by compressing the Fingerprint (FP) image and decompressing the image for the (3�3) blocks of image, coded and decoded them. And then compare the result, which come from experimental results for (size of image, quality of image) and find the relationship between them.