At present, the impact of extreme weather on power systems is becoming more and more significant, especially when the coupling degree of natural gas systems and power systems is strengthened. Conventional safety assessment processes for coupled gas-electricity systems fail to account for the possible impacts of extreme weather. Therefore, a risk assessment model for coupled gas-electricity systems under storm conditions is proposed in this paper. Firstly, the possible effects of weather, including wind speed and temperature factors, on the components of the system are studied. Secondly, the risk indicator on the system level is defined to measure the change of system security over time under different states. Finally, a case study of a city-level coupled gas-electricity system of a city-level system is given to illustrate the effectiveness of the proposed method.