The equilibrium model for a competitive supply chain network, which comprises noncooperative manufactures with capacity constrains and retailers with fuzzy market demand. is studied. The expected profit of retailers is derived by the credibility measure of fuzzy event. The supply chain network equilibrium condition is developed based on variational inequalities associated with fuzzy demand. Finally, numerical examples are given to illustrate the impact of capacity constrains on the equilibrium results via the Logarithmicquadratic proximal predictioncorrection method.