The hydrogen supply in many refineries is becoming a critical issue because of a trend of heavier crude oils and increasingly rigorous legislation. One of the significant problems is that the concentration fluctuation of hydrogen affects product quality of refineries and causes economic losses. This article investigates the disturbance resistance ability of hydrogen network. The Worst-Case Conditional Value-at-Risk (WCVaR) concept which indicates possible minimum hydrogen content in hydrogen networks is introduced to handle this problem. The disturbance resistance ability is optimized in maximization of WCVaR associated with uncertainty distribution. The article can obtain the hydrogen network whose WCVaR is not less than limit hydrogen content. The resistance ability of the obtained network structure is verified by Monte Carlo simulation. The literature example illustrate that the hydrogen network optimized by the WCVaR model performs robustly.