Abstract: The main feature of X-ray images is of no significant gray contrast so that the flaw is difficult to identify. As the weighted value, the fractal dimension between the pixels is used to enhance the image, and can be of higher resolution. But there exists two shortcomings, one is very sensitive to noise, and the other is the roughening of the edges. A new method using the area connectivity to modify H parameter is proposed. The connectivity relationship between the center and ambient gray scale inside the region is used to distinguish noise signal, background signal, or the edge of the signal. By amending their fractal dimensions respectively, the image was further enhanced for better results. The simulation and experimental results showed that the method not only maintained high resolution of the fractal, but also was of better noise immunity and applicable for the industrial CT application.