One dimensional dispersion coefficient should be varied with each location in a natural bay and originally determined by flow characteristics only. In this study, the idea is introduced that the dispersion coefficient is proportional to the product of local representative velocity and local representative length scale. One dimensional numerical calculations of contaminant diffusion were carried out for some actual bays. The proportional constant can be determined so that the computation results of contaminant diffusion agree well with the observational ones. This proportional constant was found to be a function of complexity of topography of a bay. As the result of this study, one dimensional simulation of contaminant diffusion in a bay can be carried out very easily with a little knowledge on characteristics of tidal flow.