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The change1 of stationary fraction of cooperators Pc in Stag hunt game is studied when the clustering coefficient of scale-free networks is variable and the cost of social relations is taken into account. The is used as the parameter of the benefit utility function to transform the income function between the average income and the cumulative income, and to change the magnitude of the trigonometric probabilityto change the clustering coefficient of the network. Through the experiment, it is found that in the interval of profit and loss ratio, when the average income is used, the network clustering coefficient can obviously promote the cooperative behavior, and the cumulative income is not obvious. At the same time, the accumulated income utility function will increase the critical value of the disappearance of the stationary fraction of cooperators when the network clustering coefficient is determined. In view of this situation, the characteristics of Stag hunt game and scale free network are explained respectively.