A shielding analysis of the IGNITEX device proposed by the University of Texas as a relatively inexpensive way to obtain an ignited plasmas has been performed. This paper emphasizes the radiation streaming effects on the radiation environment in the IGNITEX machine. The analysis was done by using a three-dimensional Monte Carlo code, MCNP, along with a one-dimensional discrete ordinate code and simple analytical formulas. The results show that the streaming effect on the global radiation in the test cell is not significant. The vacuum and maintenance penetrations, in particular, straight ducts, increase the radiation level at and near the outlet of the ducts considerably. The vacuum fuel processing and fueling rooms should be specifically shielded from the test cell. Access during the pulses must be limited since the radiation level in these areas is very high during D-T burning pulses because of the radiation streaming from the test cell.