Hydrogen gas is usually used in many industrial facilities, for instance, such as semiconductor, vehicle and gas station. Because hydrogen embrittlement leads to the big damages in bolts, nut, especially, high pressure valves with common materials, therefore, special alloy including Monel material is recommended to reduce the hydrogen embrittlement. The purpose of this study is to investigate the characteristics of Monel within elastic limit through numerical analysis when Monel is drawn by drawing system. As the results, it showed that safety factor was decreased, but deformation and stress was increased, when the number of pass was increased. Furthermore, the method for designating work hardening in numerical simulation was needed to achieve the exact solution in this study.