The purposes of this study are to develop a numerical model of shallow water equations with Bingham shear stress model, to evaluate the accuracy by reproducing dam break phenomena with different viscous liquids, and to clarify the differences between flow profiles computed by the numerical model with Bingham model and flow profiles computed by the numerical model with Manning model. By conducting flume experiments, we obtained the time changes of flow profiles with water and two type of viscous liquids. We reproduced the time changes of experimental flow profiles by computing with both the numerical model with Bingham model and the numerical model with Manning model. The results said that the numerical model with Bingham model could reproduce the experimental flow profiles including both rarefaction waves and shock waves. And the numerical model with Bingham model could reproduce more accurately than the numerical model with Manning model.