In this study we investigated the accuracy of the lateral over flow discharge formulations for the curved channel of which the radius of curvature is constant. From the experimental results we found that the lateral over flow discharges are in proportion with the power to 3/2 of the over flow depth, so that we use the same formulation form as Honma formulation for the front over flow discharge.We assumed three types of the discharge coefficients. The Froude number, the ratio of channel width and lateral weir width, the ratio of weir height and weir width and the ratio of channel width and radius of curvature were used as the parameters. As a result the formulation that the Froude number, the ratio of channel width and lateral weir width, the ratio of weir height and weir width assumed to be functions of the radius of curvature was the most accurate one.