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This paper presents a method of continuous-time simple adaptive control (SAC) using neural network based on genetic algorithm (GA) for a single-input single-output (SISO) nonlinear systems, bounded-input bounded-output, and bounded nonlinearities. According to the power of neural network and the characteristics of simple adaptive control, constructed a simple adaptive control using neural networks, and in neural network learning process, introduce genetic algorithm, using genetic algorithm to optimize the neural network weights. Simple adaptive control, neural network and genetic algorithm were combined to form Genetic Algorithms-Neural Network Simple Adaptive Control (GA-NNSAC). Finally, the simulation results show that the proposed method has fine accuracy, dynamic character and robustness through computer simulations.