The stratospheric airships generally act with the redundant control effectors, thus a control allocation approach based on generalized inverse was applied to the airship attitude control system and the weighted pseudo-inverse control allocation method was adopted on the basis of characteristics of airship control effectors. The simulation results of a stratospheric airship attitude control show that: the designed control allocation approach can realize the coordinated operation of redundant control effectors effectively and its control effect on attitude angle is good, which avoids the premature saturation of control surface when using single effector; the reasonable adjustment of control allocation weights can reduce energy consumption, enhance instantaneity and provide convenience in engineering.