The analytical diffusion model is first formulated and its characteristics are critically reviewed. The flood events during the 1986-1988 flood seasons i the IHP Pyungchang Representative Basin are routed by this model and are compared with those by the kinematic wave model. The results showed that the analytical diffusion model simulates the observed flood events much better than the analytical kinematic wave model. The present model is proven to be an excellent means of taking the backwater effect due to lateral inflow or down river stage variations into consideration in channel routing of flood flows. It also requires much less effort and computing time at a desired station compared to any other reliable flood routing methods.