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In this Thesis, we summarize our recent contribution to controlling and synchronization of chaos. Our new results are: 1.We have presented a parameter adjusting method to solve the problem of controlling and synchronization of chaos in dissipative systems. This method works by making the maximum conditional Lyapunov exponent negative and is useful in the field of goals entrainment and migration. 2.We have implemented the synchronization in dissipative system by using an external driving signal or adding nonlinear coupling in two systems, respectively. Especially, the adding coupling method can induce the chaotic behaviour to become regular. 3.We have successfully extented the periodic impulsive method to conservative system. This is very important because the conservative system was seldom studied herebefore and is more basic than the dissipative system. For controlling, this method works by reducing the system dimensionality through a suitably chosen Poincare section of the system. For synchronization, this method works by creating a new dynamic system, that exhibits the same kind of behaviour as the original one if the perturbation remains relatively small. 4.We have demonstrated the possibility of illustrating generalized synchroniation by symbolic analysis. GS can be implemented when the sharp minimum of the conditional entropy as a function of a shift parameter n<,0> exists. In particular, it is an identical synchronization when the sharp minimum equals zero.