Abstract:The mechanism of power governance has difficulty in balancing the fairness of the individual, and the erosion of power weakens enterprises performance. Based on the core enterprise management the basic logic of power, power is divided into the core enterprise network structure of power and knowledge power, and put forward the relationship between core enterprise promises to constraint network power, can be divided into instrumental commitment and affective commitment two dimensions, analyzes mediation effect between the power of core enterprise network and weak enterprises performance. Empirically by hierarchical linear model, the results showed: (1) affective commitment can effective constraint power core enterprise network, the core enterprise of power network and weak enterprises performance by the positive regulation of affective commitment; (2) instrumental commitment cannot effectively restrain core enterprise network power, and the influence of core enterprise network power on the weak enterprises performance is not regulated by affective commitment. This study has positive significance for the rational cognition of the core enterprise network power and the promotion of the weak enterprises performance.