Due to the large initial errors, uncertainties and disturbances in roll-channel of bank-to-turn hypersonic vehicle, an adaptive global integral sliding mode control approach is proposed. An adaptive parameter adjuster control rule was introduced into the sliding mode control, with the adaptive law adjusting parameter of the sliding mode controller to approximate the upper bound of parameter uncertainties and disturbances, which ensures the reachability of the sliding-mode during the whole control process. On the basis of this, an adaptive sliding mode control based on global integral sliding-mode is proposed. With this mode, the steady-state tracking error was eliminated while the system lies on the sliding-mode from beginning of any initial state. It also can avoid large overshoots due to the large initial errors and can effectively weaken the dynamic influence of parameters uncertainties and disturbances. Theoretical analysis and simulation results show the effectiveness of the proposed global integral sliding mode control scheme.