On 2011 March 7, the Solar Neutron Telescope located at Mt. Sierra Negra, Mexico (4600 m) observed enhancements of the counting rate from 19:57 to 20:04 UT with statistical significance 6.8 sigma and from 20:36 to 21:03 UT with 5.8 sigma. One plausible physical explanation for the observation enhancements is that they were produced by solar gamma-rays. The intensities were estimated to be (0.16 +/- 0.03) photons cm(-2) s(-1) for the first flare and (0.22 +/- 0.04) photons cm(-2) S-1 for the second one at the top of the atmosphere. As far as we know, this is the first report on the detection of solar gamma-rays with a ground-based detector. In association with these events, the solar neutron detector Space Environment Data Acquisition Equipment on board the International Space Station registered two solar neutrons with statistical significances of 7.3 sigma and 6.6 sigma. The Large Area Telescope on board the Fermi observatory also observed high-energy gamma-rays from this flare with a statistical significance of 6.7 sigma. In this paper we propose a unified model to explain the production mechanism of high-energy gamma-rays and neutrons in association with this flare.