This paper deals with the two-dimensional wave-free floating body which generates no radiating waves at a certain frequency when oscillating horizontally on the free water surface. In order to find the characteristic features of the wave-free form, the streamlines are calculated for the wave-free potential. Two kinds of wave-free bodies are given. The one is a floating body, the surface of which is inclined inwardly just below the free water surface, and the other is a fully submerged body. Numerical computations and experimental measurements of the sway exciting forces in waves are carried out for the wave-free bodies and the existence of the wave-free frequency for swaying oscillation is verified experimentally as well as theoretically. Measurements of the motions in waves are also performed on the inwardly inclined floating body that has mainly rectangular cross section. The experimental results are compared with those of the box-shaped floating body.