The problem of counterproductive work behavior ( CWB) as the key factors that influence the enterprise’s performance and the organizational stability has become one of the realist questions that concern modern enterprises the most． By analyzing the mutation characteristics of staff CWB and reviewing former related studies，this article constructs a stochastic Cusp catastrophe model of staff CWB from a new perspective of stochastic catastrophe theory by considering the psychological random disturbance，and then studies the nonlinear evolutionary process of CWB． After validating the catastrophe model and estimating parameters by Cuspfit，the article translates the static and strict stochastic catastrophe model to the dynamic Semi-quantitative cusp model by introducing the qualitative simulation，and then applies to the fuzzy and uncertain prediction research of staff CWB． In the end，we use Matlab to program the simulation system and carry out the dynamic analysis for the CWB problem of a Chinese original equipment manufacturer． We also put forward the avoidance mechanism and control strategy form the aspects of the business management model，employee selection，mood management，hazard degree of control and remedial measure with the virtual experiment． The results of the experiment contribute some suggestions to the management issues of CWB．