The JPEG2000 is new image compression standard, which develop different quantization factors in each sub-band of the wavelet transform, where those factors are attached in image format. In this paper, we develop an algorithm to determine those factors adaptively by using fuzzy logic, therefore it will became more suitable to each image condition, and also provides an effective and better compression ratio. The available low and high frequency image samples are used, and the criteria of output results such as: Peak Signal to Noise Ratio (PSNR), Compression Ratio (CR), Entropy, etc., will be compared. The simulation results indicate that such algorithm can improve image quality as well as the compression performance accordingly.