This paper aimed to apply a nonlinear hybrid wavelet neural network, WNN controller for static VAR compensators SVC. The proposed WNN control the amount of the reactive power consumed or delivered to the network by controlling the TRC firing angle. Single layer wavelet neural network, WNN model technique is used in the present paper. The proposed controller tracks the power systems response to zero error in the post fault conditions. The proposed controller is applied for sample single machine infinite bus power system. The time simulations indicate the effectiveness, robustness and fast response of the proposed controller in comparison with the conventional one's. The studied system is modeled by nonlinear differential and algebraic equations which solved by the Matlab Software.