The extension of Sommerfield's problem to a moving semi‐infinite lossless medium is considered in this paper. The analysis is limited to the determination of the space wave in the far zone. This is the geometrical optics solution of the problem and is carried out simply by utilizing the results of the plane‐wave reflection—refraction problem obtained in a previous paper. The study includes both the vertical and the horizontal dipoles. As expected, the motion of the medium does not significantly affect the radiation pattern unless the velocity is comparable with that of light.