To investigate the influence of stochastic processes and flight attitude on the structural reliability of hypersonic vehicles, a novel dynamic reliability approach is proposed based on a vibration model with stochastic processes. By analyzing the aerodynamic forces of the five surfaces for a hypersonic vehicle, a vibration model of the cantilever beam equivalent to the structure of vehicle is constructed with considering both aerodynamic and stochastic aerodynamic forces. Then, using the stochastic averaging method, the vibration equation is transformed into an ITÔ equation of the vibration amplitude. Based on the equation, a dynamic structural reliability model of the vehicle is established by applying the backward Kolmogorov equation, which can be calculated using the implicit difference method. The simulation results are presented to verify the effectiveness of the proposed dynamic reliability method.