Fuzzy pulse method is used to realize the synchronization of fractional order chaotic system. Two different methods are used to determine the stability of fractional order error system, one is the construction of fractional order determination function, the other is the Lyapunov second method, and the corresponding synchronization conditions are obtained. The properties of fractional order calculus and fractional order differential equations are used in proof, and finally the fractional order Chen system and Qi system are selected to verify the numerical simulation.