Abstract: In order to improve the efficiency of the leadership and bring up unit culture, a decision making model and a payoff matrix were established for the current leadership and the previous leadership. A replicator dynamic equation was used to analyze the evolution of previous work styles. According to local stability of Jacobi matrix, the possible stable states of evolution were analyzed under the circumstances that the different incomes of different strategies meet the distinct relationships. The analysis results show that the evolution direction in the system is related to the reward and penalty parameters in the payoff matrix. The proposed model provides a theoretical reference to enforce scientific management for organizational departments.