As for a new proposed class of chaotic system,the anti-synchronization control problem is studied between the drive and the response system.Based on Lyapunov stability theory and the adaptive control method,a method of controller design and an adaptive learning algorithm of the parameters are presented for the anti-synchronization of the new chaotic system.On this basis,through the numerical simulation carried out via Matlab software,the simulation results show that all the parameters can be accurately identified,and that it can make error system stable in a relatively short period of time,which certifies the correctness of the controller and the parameter adaptive law.Finally,synchronization circuit results are verified via Multisim simulation platform,which further proves that the circuit can be realized.