In view of the ‘economic decentralization,political centralization’management model,the purpose of local governments are inconsistent with the central government’s objectives in in implementation of environmental regulation. This paper discussed impact of the positive externalities of investment in environmental protection of neighboring local governments and negative external effects of investment economic behaviors on environmental regulation choices of central government and local governments. The evolutionary game theory was used to construct the evolutionary game model between the central government and local government from the perspective of the competition of the neighboring local governments. Furthermore,the evolutionary rules and behavioral characteristics of the two sides of the game were discussed. In addition with theoretical analysis,we selected numerical values for incentives,penalties,positive externality coefficients of investment in local environmental protection for neighboring local governments and negative external effect coefficients for investment economic behaviors to simulate the action mechanism of game players to achieve a stable evolutionary strategy. Based on the dynamic trajectory analysis of the evolutionary stability strategies achieved by the two sides of the game,it analyzed how influencing factors promoted the game players to achieve game equilibrium. The research showed that: First,there was a large difference in the sensitivity of the central government and the local government ’s willingness to implement environmental regulation for various influencing factors. Local governments’ willingness to implement environmental regulations was more sensitive to factors such as reward,positive and negative external effects of neighboring local governments’ different investment behaviors. The central government and local governments had strong sensitivity to punishment. Second,there was a threshold effect on the ideal equilibrium of game players,which was generated by the factors including reward,the positive and negative external effects of neighboring local governments’ different investment behaviors. Only under certain conditions,when the positive and negative external effects of neighboring local government investment behaviors were lower than the threshold or the strength of incentives and penalties exceeded the threshold,the central government and local governments would be promoted to achieve the ideal situation(perform,not regulate). Compared with the negative external effects of investment economic behavior,it was easier to effectively control the positive external effects of the investment environment to promote local governments to choose the strategy of implement environmental regulation. In performance of appraisal system,the central government were supposed to make full use of the differences in the influence of the competition mechanisms and incentive mechanisms of neighboring local governments on the environmental regulation game,and take effective measures to encourage local governments to actively implement environmental regulations.