A linear quadratic control method based on stochastic robustness design was proposed according to the features that hypersonic vehicle model is highly nonlinear，input/output have strong coupling without certain parameters. This control scheme is based on system control requirements, using Monte Carlo simulation method to establish stochastic robustness cost function, and adopting genetic algorithm to optimize the control system design parameters. This formulation can ensure the longitudinal flight stability and improve the control performance of hypersonic vehicles. The controller was demonstrated in closed loop simulations based on an existing longitudinal hypersonic vehicle model. The simulation results show that the controller successfully tracks the reference trajectories, meets the system needs and has strong robustness.