Cusum control chart are widely used in process with small shifts. Because of cusum control chart has reasonable detection capability for small shifts. But Cusum control chart has unreasonable detection capability for recurring cycles or quickly change of small shifts. In Shewhart control charts with recurring cycles or quickly change of small shifts, when a point falls outside Shewhart control limits, the process is out of control. But, if assignable causes occur in process and the points falls inside its control limits, process can be considered in-control. For this situations, Shewhart control charts are used zones method ( ex＞ A, B, C ... ). ( We say ‘runs rules’ ) This paper investigated cumulative sum control chart for this some situations.