For solar sail spacecraft with control vanes,solar sail attitude dynamics equations considering elastic vibration and vibration equations were deduced.The solutions of solar sail spacecraft dynamics equations were achieved by utilizing the concepts of unconstraint modes.The PD controller with Bang-Bang control strategies was designed considering the problems of yaw axis earth-pointing of solar sail on super-synchronous transfer orbit.Numerical simulation shows that the designed controller based on control vanes is capable of controlling the yaw axis earth-pointing fast and accurately.