The modern research in meridian has verified that the phenomenon of meridian's route is in existence. It is important to visualize the meridian's route interactively in real time. This paper analyses the geometric curve construction and proposes a method to fit transmission route of human meridian using the equation of Catmull-Rom cubic splines interpolation. The method uses 3D acupuncture points as the curve control points. The interpolation data of the whole transmission route is obtained through the Catmull-Rom interpolation algorithm. Experimental results show that this method can reconstruct transmission route of human meridian quickly and maintain the original property well.