Abstract: Rigid spacecraft models with two controls can not be locally asymptotically stabilized by continuous pure-state feedbacks. Available stabilization methods include the method using time-varying feedbacks and the method using discontinuous feedbacks. Most of the existing time-varying control results suffer from the drawback that the designed control laws are very complex. Moreover, the control laws using smooth time-varying feedback do not stabilize the system at exponential convergence rate. A smooth time-varying controller is developed by introducing an assistant state variable and using feedback linearization technique. Besides the advantage of design simplicity, the states of the closed loop system converge at exponential rate. The validity of our method is demonstrated by simulation results.