This paper aims at design of network control system for the remote control of robot. As the system includes a communication channel, quantization is required to satisfy communication capacity limitation. Dynamic quantizer is a kind of quantization methods and has been studied in control engineering field. Optimal quantizing width designed of dynamic has been designed based on invariant sets. However, quantizing width of dynamic quantizer designed based on invariant sets has maintainability than one of designed based on reachable sets and big maintainability and poor control performance. We need to design quantizing width of dynamic quantizer based on reachable sets. In this study, we propose design method of quantizing width of dynamic quantizer based on reachable sets. The effectiveness is shown by numerical example.