Abstract: In this paper, we conduct an in-depth study on the initial-boundary-value problem of one-dimensional compressible viscous radiation gas equations subject to outer pressure boundary conditions. When the viscosity coefficient remains constant and the heat conductivity is proportional to a positive power of the temperature, we establish the global existence of strong solutions corresponding to large initial data. Notably, owing to the presence of the outer pressure boundary, the crucial step in resolving this initial-boundary-value problem lies in deriving positive upper and lower bounds for both the density and the temperature.