[en] To research new physics beyond the Standard Model, the experiment for very precise measurements of muon spin precession (E34) is planned at J-PARC. One of the keys to succeeding in this experiment is a technology to lead beams to the center plane of the storage magnetic field precisely, and this performance is directly connected with systematic errors of the final result of the experiment. We cannot control beams by any electric fields in the storage magnet, so we should make the magnetic field depending on time by sending big pulse electric currents through the air-core coil, and control beam tracks by the magnetic field. In this paper, we will introduce the outline of the vertical beam kicker installed inside the storage magnet, and report results of consideration of the conceptual design to be able to do the experiment. Moreover, we will experimentally make air-core coils and connect it with the test bench of the device to send big pulse electric currents and evaluate space and time distribution of the magnetic field to satisfy designs. This result of elementary researches will be reflected in detail designs of real devices. (author)