The propagation of solar neutrons through the atmosphere of the Earth has been calculated by a Monte Carlo method using a nuclear interaction model which can reproduce the existing data obtained by accelerator experiments. With this calculation, it has been found that the elastic scattering process plays an important role in the propagation of solar neutrons in the atmosphere at an incident energy below ~200 MeV. By applying this calculation to the analysis of a solar neutron event observed at Mount Norikura Cosmic Ray Observatory on June 4, 1991, it is possible to interpret the event as &ggr; rays and neutrons having been produced impulsively at the time of the solar flare. The event observed at Jungfraujoch on June 3, 1982 can be explained similarly. ¿ American Geophysical Union 1994