In this paper, the non-linear hydrodynamic forces acting on a two-dimensional body moving laterally are discussed. The numerical calculations are made for a circular cylinder swaying with large amplitude on a free surface. The procedure of the calculation is based on the theory; it is assumed that the free surface elevation is small and that the interval of impulsive motions are small enough, so that the impulse response function can be used which have been already applied to the heaving motion in the previous report (1). The hydrodynamic forces are obtained from forced swaying tests and then these experimental results are compared with the calculations. For the most part, good agreements are observed. Additionally, applying this method, the wave resistance of a submerged circular cylinder is also obtained and compared with the calculated results of the report (5).