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Using the Hamiltonian function method, this paper investigates the coordinated control of generator and static var compensator (SVC) in power systems with nonlinear loads. First, via a proper variable transformation and pre-feedback control, the dissipative Hamiltonian realization of the power system is completed. The operating point is set to a desired value simultaneously. Then, based on the dissipative Hamiltonian realization, an energy-based coordinated controller is constructed. The proposed controller can effectively utilize the internal structure of the system and is simple in form. Simulation results indicate that the coordinated controller can improve the transient stability of the system.