We have proposed a design method of neural networks for limit cycle generator. The proposed method is based on the linear programming method. In this paper, we apply this method to the hysteresis neural networks for limit cycle generator. The hysteresis neuron has two threshold levels. Therefore, the state of neuron can be flexibly controlled. As a result, the hysteresis neural networks can realize the limit cycle, which cannot be designed in the previous work. Our specialized simulator verifies the behavior of this network. As a result, we can easily design hysteresis neural networks for limit cycle generator.