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This paper presents coordinated design of PSS and TCSC dynamics model for electric power systems oscillations damping. A simplified fundamental frequency model of TCSC is proposed and the model results are verified, initially. This paper presents an analytical dynamic model for TCSC to demonstrate how it consistently behaves in the large power system networks and efficiently stabilizes its oscillations in the case of a disturbance. The model for possible undesirable interactions between the PSS-type damping controllers and the TCSC damping controller is implemented by using the multi-machine model in the design stage. The proposed technique ensures that the designed controllers fulfill various practical requirements of the oscillation damping problem in power systems.