Abstract: Sport enterprises involving in government purchasing public sport services fall into three modes:non-profit, passive participation and active participation. In this paper, mathematical models for each mode are given and discussed to explore the feasibility of suppliers participating in the government purchase.The results show that:(1) in the non-profit mode, sport enterprises will not offer public sport services.Eventually, the limited supply choice leads to the inefficiency of government purchase.(2) In the passive participation mode, profit dominates the decision-making, thus the government will risk the instability of supply.(3) In the active participation mode, sport enterprises attempt to seek demands for basic public sport services for free, and gradually change it into value-added services to make profits.In this way, a win-win objective is attained for the government, sport enterprises and the common population.