The conventional Shewhart control chart techniques have found wide application in the manufacturing industries. However that chart is less sensitive to a very small shift and fraction nonconforming. Kim & Um(2012) first introduced the Zp control scheme for controlling a very small fraction nonconforming at the ppm level. The purpose of this paper is carried out performance of Zp control chart due to the change of parameters. In view of the parameters, it is presented ARL table conveniently when managing a small fraction nonconforming. Zp control chart is easy to interpret, easy to make use of ppb, ppm level in automatic dynamic process and machine control.