The late Dr. H. Nakano(1) studied the propagation of seismic waves in a semi-infinite solid when the three surface stress cmponents are given, and showed that at the surface the amplitude of the wave transmitted with the velocity of longitudinal wave is proportional to the inverse square of the distance from the origin when the surface stress is confined on the parts near the origin. This is due to the fact that the force is applied on a plane surface. It is, therefore, desirable to solve the problem of the propagation of seismic waves when the surface stress components or the components of the surface displacement on a sphere in the semi-infinite solid are given. In this preliminary report the author obtained the solutiong satisfying the boundary conditions, and the analysis of the result will be given in the next paper.