In this paper, we analyzed the spread of SARS-CoV-2(COVID-19) in the military through mathematical modeling. Since the omicron variant became dominant in 2022, the number of confirmed patients in the Korean military has soared, raising the need for mathematical research on the spread of COVID-19 in the military. This study verified the causality of the propagation patterns of civil society and military through Granger causality verification, and numerically analyzed the propagation patterns of military and civil society during a specific period by applying an compartmental model. Through this, it was possible to numerically estimate the characteristics of COVID-19 diffusion in the military.