Abstract: According to a class of chaotic systems with model uncertainties and external perturbation, a general method of modified function projective synchronization is proposed by designing a suitable response system．Based on Lyapunov stability theorem and unidirectionally coupled synchronization principle, the two schemes of obtaining the response system from chaotic drive system are established. By designing suitable controller and adaptive law, the drive and response systems can synchronize to a desired scaling function matrix. The proposed scheme has strong robustness to model uncertainty and external perturbation without need of the knowledge of the boundary values of uncertainties. The adaptive law is introduced into coupled feedback coefficient, so the coefficient can be adjusted to the best value with the adaptive law. Theoretical analysis and simulation results verify the effectiveness of the proposed scheme．