This study based on modified Stackelberg structure with two echelon supply chains and the market was leaded by manufacture. Two retailers and one manufacture how to maximizing their profits respectively or cooperating with each other through a superior strategy. We applied mathematical method with non-linear demand and non-linear total cost function to find out their optimal solutions; meanwhile, we also discuss some cases to realize the context under non-cooperation and cooperation strategies to get further understanding about their interactive situations.