A general scalar chaotic signal synchronization system is proposed in this paper. For the system in the “strict-feedback" form with variant parameters and variant weights of artificial control terms, a feedback controller and associated parameter adaptive laws are constructed via adaptive backstepping design with tuning functions. Using the controller and parameter adaptive laws proposed in this paper, the output of the general system asymptotically synchronizes with the output of any chaotic system with a known structure. Both theory analysis and computer simulation results illustrate the validity of the general scalar chaotic signal synchronization system and its controller.